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Finding the Fourth Proportional to 421,513.43, 632,111.45 and 137,129.58

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Solution

The fourth proportional to 421,513.43, 632,111.45 and 137,129.58 is: 205,642.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,513.43 : 632,111.45 = 137,129.58 : x
  2. Step 2: Convert to fraction form
    421,513.43/632,111.45 = 137,129.58/x
  3. Step 3: Cross multiply
    421,513.43x = 632,111.45 × 137,129.58
  4. Step 4: Simplify right side
    421,513.43x = 86,681,176,966.04
  5. Step 5: Solve for x
    x = 86,681,176,966.04/421,513.43
  6. Step 6: Final answer
    x = 205,642.74

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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.