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Finding the Fourth Proportional to 712,248.12, 982,899.63 and 406,323.90

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Solution

The fourth proportional to 712,248.12, 982,899.63 and 406,323.90 is: 560,725.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,248.12 : 982,899.63 = 406,323.90 : x
  2. Step 2: Convert to fraction form
    712,248.12/982,899.63 = 406,323.90/x
  3. Step 3: Cross multiply
    712,248.12x = 982,899.63 × 406,323.90
  4. Step 4: Simplify right side
    712,248.12x = 399,375,610,970.16
  5. Step 5: Solve for x
    x = 399,375,610,970.16/712,248.12
  6. Step 6: Final answer
    x = 560,725.40

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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.