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Finding the Fourth Proportional to 539,434.40, 807,769.20 and 398,429.60

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Solution

The fourth proportional to 539,434.40, 807,769.20 and 398,429.60 is: 596,623.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,434.40 : 807,769.20 = 398,429.60 : x
  2. Step 2: Convert to fraction form
    539,434.40/807,769.20 = 398,429.60/x
  3. Step 3: Cross multiply
    539,434.40x = 807,769.20 × 398,429.60
  4. Step 4: Simplify right side
    539,434.40x = 321,839,159,248.32
  5. Step 5: Solve for x
    x = 321,839,159,248.32/539,434.40
  6. Step 6: Final answer
    x = 596,623.35

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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.