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Finding the Fourth Proportional to 712,471.19, 983,191.20 and 406,542.02

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Solution

The fourth proportional to 712,471.19, 983,191.20 and 406,542.02 is: 561,017.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,471.19 : 983,191.20 = 406,542.02 : x
  2. Step 2: Convert to fraction form
    712,471.19/983,191.20 = 406,542.02/x
  3. Step 3: Cross multiply
    712,471.19x = 983,191.20 × 406,542.02
  4. Step 4: Simplify right side
    712,471.19x = 399,708,536,494.22
  5. Step 5: Solve for x
    x = 399,708,536,494.22/712,471.19
  6. Step 6: Final answer
    x = 561,017.12

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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.