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Finding the Fourth Proportional to 429,476.32, 644,084.88 and 180,102.88

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Solution

The fourth proportional to 429,476.32, 644,084.88 and 180,102.88 is: 270,099.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,476.32 : 644,084.88 = 180,102.88 : x
  2. Step 2: Convert to fraction form
    429,476.32/644,084.88 = 180,102.88/x
  3. Step 3: Cross multiply
    429,476.32x = 644,084.88 × 180,102.88
  4. Step 4: Simplify right side
    429,476.32x = 116,001,541,852.45
  5. Step 5: Solve for x
    x = 116,001,541,852.45/429,476.32
  6. Step 6: Final answer
    x = 270,099.97

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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.