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Finding the Fourth Proportional to 429,967.87, 645,211.02 and 149,681.95

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Solution

The fourth proportional to 429,967.87, 645,211.02 and 149,681.95 is: 224,613.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,967.87 : 645,211.02 = 149,681.95 : x
  2. Step 2: Convert to fraction form
    429,967.87/645,211.02 = 149,681.95/x
  3. Step 3: Cross multiply
    429,967.87x = 645,211.02 × 149,681.95
  4. Step 4: Simplify right side
    429,967.87x = 96,576,443,635.09
  5. Step 5: Solve for x
    x = 96,576,443,635.09/429,967.87
  6. Step 6: Final answer
    x = 224,613.16

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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.