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Finding the Fourth Proportional to 610,438.20, 915,438.60 and 310,819.20

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Solution

The fourth proportional to 610,438.20, 915,438.60 and 310,819.20 is: 466,117.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,438.20 : 915,438.60 = 310,819.20 : x
  2. Step 2: Convert to fraction form
    610,438.20/915,438.60 = 310,819.20/x
  3. Step 3: Cross multiply
    610,438.20x = 915,438.60 × 310,819.20
  4. Step 4: Simplify right side
    610,438.20x = 284,535,893,301.12
  5. Step 5: Solve for x
    x = 284,535,893,301.12/610,438.20
  6. Step 6: Final answer
    x = 466,117.44

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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.