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Finding the Fourth Proportional to 429,475.60, 644,299.80 and 148,934.80

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Solution

The fourth proportional to 429,475.60, 644,299.80 and 148,934.80 is: 223,432.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,475.60 : 644,299.80 = 148,934.80 : x
  2. Step 2: Convert to fraction form
    429,475.60/644,299.80 = 148,934.80/x
  3. Step 3: Cross multiply
    429,475.60x = 644,299.80 × 148,934.80
  4. Step 4: Simplify right side
    429,475.60x = 95,958,661,853.04
  5. Step 5: Solve for x
    x = 95,958,661,853.04/429,475.60
  6. Step 6: Final answer
    x = 223,432.16

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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.