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Finding the Fourth Proportional to 429,398.55, 644,392.97 and 148,915.80

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Solution

The fourth proportional to 429,398.55, 644,392.97 and 148,915.80 is: 223,476.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,398.55 : 644,392.97 = 148,915.80 : x
  2. Step 2: Convert to fraction form
    429,398.55/644,392.97 = 148,915.80/x
  3. Step 3: Cross multiply
    429,398.55x = 644,392.97 × 148,915.80
  4. Step 4: Simplify right side
    429,398.55x = 95,960,294,455.78
  5. Step 5: Solve for x
    x = 95,960,294,455.78/429,398.55
  6. Step 6: Final answer
    x = 223,476.06

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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.