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Finding the Fourth Proportional to 712,515.74, 983,027.79 and 406,372.10

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Solution

The fourth proportional to 712,515.74, 983,027.79 and 406,372.10 is: 560,654.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,515.74 : 983,027.79 = 406,372.10 : x
  2. Step 2: Convert to fraction form
    712,515.74/983,027.79 = 406,372.10/x
  3. Step 3: Cross multiply
    712,515.74x = 983,027.79 × 406,372.10
  4. Step 4: Simplify right side
    712,515.74x = 399,475,062,465.52
  5. Step 5: Solve for x
    x = 399,475,062,465.52/712,515.74
  6. Step 6: Final answer
    x = 560,654.37

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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.