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Finding the Fourth Proportional to 429,209.83, 643,808.19 and 145,099.95

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Solution

The fourth proportional to 429,209.83, 643,808.19 and 145,099.95 is: 217,647.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,209.83 : 643,808.19 = 145,099.95 : x
  2. Step 2: Convert to fraction form
    429,209.83/643,808.19 = 145,099.95/x
  3. Step 3: Cross multiply
    429,209.83x = 643,808.19 × 145,099.95
  4. Step 4: Simplify right side
    429,209.83x = 93,416,537,929.86
  5. Step 5: Solve for x
    x = 93,416,537,929.86/429,209.83
  6. Step 6: Final answer
    x = 217,647.71

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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.