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Finding the Fourth Proportional to 429,658.83, 644,484.14 and 261,225.66

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Solution

The fourth proportional to 429,658.83, 644,484.14 and 261,225.66 is: 391,835.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,658.83 : 644,484.14 = 261,225.66 : x
  2. Step 2: Convert to fraction form
    429,658.83/644,484.14 = 261,225.66/x
  3. Step 3: Cross multiply
    429,658.83x = 644,484.14 × 261,225.66
  4. Step 4: Simplify right side
    429,658.83x = 168,355,794,831.03
  5. Step 5: Solve for x
    x = 168,355,794,831.03/429,658.83
  6. Step 6: Final answer
    x = 391,835.99

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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.