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Finding the Fourth Proportional to 712,617.48, 983,428.10 and 406,687.77

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Solution

The fourth proportional to 712,617.48, 983,428.10 and 406,687.77 is: 561,238.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,617.48 : 983,428.10 = 406,687.77 : x
  2. Step 2: Convert to fraction form
    712,617.48/983,428.10 = 406,687.77/x
  3. Step 3: Cross multiply
    712,617.48x = 983,428.10 × 406,687.77
  4. Step 4: Simplify right side
    712,617.48x = 399,948,178,910.90
  5. Step 5: Solve for x
    x = 399,948,178,910.90/712,617.48
  6. Step 6: Final answer
    x = 561,238.24

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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.