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Finding the Fourth Proportional to 429,280.61, 643,775.12 and 148,732.37

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Solution

The fourth proportional to 429,280.61, 643,775.12 and 148,732.37 is: 223,048.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,280.61 : 643,775.12 = 148,732.37 : x
  2. Step 2: Convert to fraction form
    429,280.61/643,775.12 = 148,732.37/x
  3. Step 3: Cross multiply
    429,280.61x = 643,775.12 × 148,732.37
  4. Step 4: Simplify right side
    429,280.61x = 95,750,198,600.97
  5. Step 5: Solve for x
    x = 95,750,198,600.97/429,280.61
  6. Step 6: Final answer
    x = 223,048.04

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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.