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Finding the Fourth Proportional to 429,673.19, 644,542.59 and 130,178.58

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Solution

The fourth proportional to 429,673.19, 644,542.59 and 130,178.58 is: 195,277.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,673.19 : 644,542.59 = 130,178.58 : x
  2. Step 2: Convert to fraction form
    429,673.19/644,542.59 = 130,178.58/x
  3. Step 3: Cross multiply
    429,673.19x = 644,542.59 × 130,178.58
  4. Step 4: Simplify right side
    429,673.19x = 83,905,639,115.72
  5. Step 5: Solve for x
    x = 83,905,639,115.72/429,673.19
  6. Step 6: Final answer
    x = 195,277.81

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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.