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Finding the Fourth Proportional to 712,565.59, 983,356.43 and 406,635.88

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Solution

The fourth proportional to 712,565.59, 983,356.43 and 406,635.88 is: 561,166.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,565.59 : 983,356.43 = 406,635.88 : x
  2. Step 2: Convert to fraction form
    712,565.59/983,356.43 = 406,635.88/x
  3. Step 3: Cross multiply
    712,565.59x = 983,356.43 × 406,635.88
  4. Step 4: Simplify right side
    712,565.59x = 399,868,007,266.71
  5. Step 5: Solve for x
    x = 399,868,007,266.71/712,565.59
  6. Step 6: Final answer
    x = 561,166.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.