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Finding the Fourth Proportional to 520,021, 780,005.98 and 200,325.34

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Solution

The fourth proportional to 520,021, 780,005.98 and 200,325.34 is: 300,478.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,021 : 780,005.98 = 200,325.34 : x
  2. Step 2: Convert to fraction form
    520,021/780,005.98 = 200,325.34/x
  3. Step 3: Cross multiply
    520,021x = 780,005.98 × 200,325.34
  4. Step 4: Simplify right side
    520,021x = 156,254,963,145.53
  5. Step 5: Solve for x
    x = 156,254,963,145.53/520,021
  6. Step 6: Final answer
    x = 300,478.18

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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.