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Finding the Fourth Proportional to 429,710.64, 644,600.52 and 145,398.48

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Solution

The fourth proportional to 429,710.64, 644,600.52 and 145,398.48 is: 218,109.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,710.64 : 644,600.52 = 145,398.48 : x
  2. Step 2: Convert to fraction form
    429,710.64/644,600.52 = 145,398.48/x
  3. Step 3: Cross multiply
    429,710.64x = 644,600.52 × 145,398.48
  4. Step 4: Simplify right side
    429,710.64x = 93,723,935,815.21
  5. Step 5: Solve for x
    x = 93,723,935,815.21/429,710.64
  6. Step 6: Final answer
    x = 218,109.41

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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.