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Finding the Fourth Proportional to 429,671.94, 644,540.71 and 130,177.33

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Solution

The fourth proportional to 429,671.94, 644,540.71 and 130,177.33 is: 195,275.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,671.94 : 644,540.71 = 130,177.33 : x
  2. Step 2: Convert to fraction form
    429,671.94/644,540.71 = 130,177.33/x
  3. Step 3: Cross multiply
    429,671.94x = 644,540.71 × 130,177.33
  4. Step 4: Simplify right side
    429,671.94x = 83,904,585,806.84
  5. Step 5: Solve for x
    x = 83,904,585,806.84/429,671.94
  6. Step 6: Final answer
    x = 195,275.93

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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.