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Finding the Fourth Proportional to 429,209.91, 643,808.32 and 145,100.04

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Solution

The fourth proportional to 429,209.91, 643,808.32 and 145,100.04 is: 217,647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,209.91 : 643,808.32 = 145,100.04 : x
  2. Step 2: Convert to fraction form
    429,209.91/643,808.32 = 145,100.04/x
  3. Step 3: Cross multiply
    429,209.91x = 643,808.32 × 145,100.04
  4. Step 4: Simplify right side
    429,209.91x = 93,416,612,621.58
  5. Step 5: Solve for x
    x = 93,416,612,621.58/429,209.91
  6. Step 6: Final answer
    x = 217,647.85

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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.