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Finding the Fourth Proportional to 429,711.64, 644,602.02 and 145,399.48

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Solution

The fourth proportional to 429,711.64, 644,602.02 and 145,399.48 is: 218,110.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,711.64 : 644,602.02 = 145,399.48 : x
  2. Step 2: Convert to fraction form
    429,711.64/644,602.02 = 145,399.48/x
  3. Step 3: Cross multiply
    429,711.64x = 644,602.02 × 145,399.48
  4. Step 4: Simplify right side
    429,711.64x = 93,724,798,514.95
  5. Step 5: Solve for x
    x = 93,724,798,514.95/429,711.64
  6. Step 6: Final answer
    x = 218,110.91

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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.