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Finding the Fourth Proportional to 429,780.28, 644,799.21 and 173,480.89

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Solution

The fourth proportional to 429,780.28, 644,799.21 and 173,480.89 is: 260,273.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,780.28 : 644,799.21 = 173,480.89 : x
  2. Step 2: Convert to fraction form
    429,780.28/644,799.21 = 173,480.89/x
  3. Step 3: Cross multiply
    429,780.28x = 644,799.21 × 173,480.89
  4. Step 4: Simplify right side
    429,780.28x = 111,860,340,822.10
  5. Step 5: Solve for x
    x = 111,860,340,822.10/429,780.28
  6. Step 6: Final answer
    x = 260,273.32

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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.