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Finding the Fourth Proportional to 429,200.64, 643,915.77 and 148,717.89

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Solution

The fourth proportional to 429,200.64, 643,915.77 and 148,717.89 is: 223,116.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,200.64 : 643,915.77 = 148,717.89 : x
  2. Step 2: Convert to fraction form
    429,200.64/643,915.77 = 148,717.89/x
  3. Step 3: Cross multiply
    429,200.64x = 643,915.77 × 148,717.89
  4. Step 4: Simplify right side
    429,200.64x = 95,761,794,652.13
  5. Step 5: Solve for x
    x = 95,761,794,652.13/429,200.64
  6. Step 6: Final answer
    x = 223,116.62

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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.