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Finding the Fourth Proportional to 429,710.40, 644,587.47 and 159,778.71

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Solution

The fourth proportional to 429,710.40, 644,587.47 and 159,778.71 is: 239,676.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,710.40 : 644,587.47 = 159,778.71 : x
  2. Step 2: Convert to fraction form
    429,710.40/644,587.47 = 159,778.71/x
  3. Step 3: Cross multiply
    429,710.40x = 644,587.47 × 159,778.71
  4. Step 4: Simplify right side
    429,710.40x = 102,991,354,438.76
  5. Step 5: Solve for x
    x = 102,991,354,438.76/429,710.40
  6. Step 6: Final answer
    x = 239,676.20

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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.