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Finding the Fourth Proportional to 429,523.85, 644,308.05 and 109,678.74

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Solution

The fourth proportional to 429,523.85, 644,308.05 and 109,678.74 is: 164,523.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,523.85 : 644,308.05 = 109,678.74 : x
  2. Step 2: Convert to fraction form
    429,523.85/644,308.05 = 109,678.74/x
  3. Step 3: Cross multiply
    429,523.85x = 644,308.05 × 109,678.74
  4. Step 4: Simplify right side
    429,523.85x = 70,666,895,095.86
  5. Step 5: Solve for x
    x = 70,666,895,095.86/429,523.85
  6. Step 6: Final answer
    x = 164,523.80

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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.