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Finding the Fourth Proportional to 520,081.70, 780,122.55 and 470,315.30

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Solution

The fourth proportional to 520,081.70, 780,122.55 and 470,315.30 is: 705,472.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,081.70 : 780,122.55 = 470,315.30 : x
  2. Step 2: Convert to fraction form
    520,081.70/780,122.55 = 470,315.30/x
  3. Step 3: Cross multiply
    520,081.70x = 780,122.55 × 470,315.30
  4. Step 4: Simplify right side
    520,081.70x = 366,903,571,140.02
  5. Step 5: Solve for x
    x = 366,903,571,140.02/520,081.70
  6. Step 6: Final answer
    x = 705,472.95

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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.