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Finding the Fourth Proportional to 429,708.48, 644,629.59 and 130,117.74

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Solution

The fourth proportional to 429,708.48, 644,629.59 and 130,117.74 is: 195,196.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,708.48 : 644,629.59 = 130,117.74 : x
  2. Step 2: Convert to fraction form
    429,708.48/644,629.59 = 130,117.74/x
  3. Step 3: Cross multiply
    429,708.48x = 644,629.59 × 130,117.74
  4. Step 4: Simplify right side
    429,708.48x = 83,877,745,387.93
  5. Step 5: Solve for x
    x = 83,877,745,387.93/429,708.48
  6. Step 6: Final answer
    x = 195,196.86

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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.