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Finding the Fourth Proportional to 520,096.70, 780,145.05 and 470,330.30

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Solution

The fourth proportional to 520,096.70, 780,145.05 and 470,330.30 is: 705,495.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,096.70 : 780,145.05 = 470,330.30 : x
  2. Step 2: Convert to fraction form
    520,096.70/780,145.05 = 470,330.30/x
  3. Step 3: Cross multiply
    520,096.70x = 780,145.05 × 470,330.30
  4. Step 4: Simplify right side
    520,096.70x = 366,925,855,410.02
  5. Step 5: Solve for x
    x = 366,925,855,410.02/520,096.70
  6. Step 6: Final answer
    x = 705,495.45

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.