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Finding the Fourth Proportional to 462,822.78, 638,686.98 and 261,618.78

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Solution

The fourth proportional to 462,822.78, 638,686.98 and 261,618.78 is: 361,029.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,822.78 : 638,686.98 = 261,618.78 : x
  2. Step 2: Convert to fraction form
    462,822.78/638,686.98 = 261,618.78/x
  3. Step 3: Cross multiply
    462,822.78x = 638,686.98 × 261,618.78
  4. Step 4: Simplify right side
    462,822.78x = 167,092,508,509.48
  5. Step 5: Solve for x
    x = 167,092,508,509.48/462,822.78
  6. Step 6: Final answer
    x = 361,029.14

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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.