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Finding the Fourth Proportional to 502,285.40, 753,428.10 and 169,861.40

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Solution

The fourth proportional to 502,285.40, 753,428.10 and 169,861.40 is: 254,792.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,285.40 : 753,428.10 = 169,861.40 : x
  2. Step 2: Convert to fraction form
    502,285.40/753,428.10 = 169,861.40/x
  3. Step 3: Cross multiply
    502,285.40x = 753,428.10 × 169,861.40
  4. Step 4: Simplify right side
    502,285.40x = 127,978,351,865.34
  5. Step 5: Solve for x
    x = 127,978,351,865.34/502,285.40
  6. Step 6: Final answer
    x = 254,792.10

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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.