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Finding the Fourth Proportional to 642,665.78, 964,576.86 and 343,402.17

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Solution

The fourth proportional to 642,665.78, 964,576.86 and 343,402.17 is: 515,412.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,665.78 : 964,576.86 = 343,402.17 : x
  2. Step 2: Convert to fraction form
    642,665.78/964,576.86 = 343,402.17/x
  3. Step 3: Cross multiply
    642,665.78x = 964,576.86 × 343,402.17
  4. Step 4: Simplify right side
    642,665.78x = 331,237,781,950.87
  5. Step 5: Solve for x
    x = 331,237,781,950.87/642,665.78
  6. Step 6: Final answer
    x = 515,412.20

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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.