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Finding the Fourth Proportional to 610,428.52, 914,461.98 and 343,377.64

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Solution

The fourth proportional to 610,428.52, 914,461.98 and 343,377.64 is: 514,402.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,428.52 : 914,461.98 = 343,377.64 : x
  2. Step 2: Convert to fraction form
    610,428.52/914,461.98 = 343,377.64/x
  3. Step 3: Cross multiply
    610,428.52x = 914,461.98 × 343,377.64
  4. Step 4: Simplify right side
    610,428.52x = 314,005,796,562.13
  5. Step 5: Solve for x
    x = 314,005,796,562.13/610,428.52
  6. Step 6: Final answer
    x = 514,402.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.