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Finding the Fourth Proportional to 306,638.85, 459,958.28 and 138,349.20

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Solution

The fourth proportional to 306,638.85, 459,958.28 and 138,349.20 is: 207,523.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,638.85 : 459,958.28 = 138,349.20 : x
  2. Step 2: Convert to fraction form
    306,638.85/459,958.28 = 138,349.20/x
  3. Step 3: Cross multiply
    306,638.85x = 459,958.28 × 138,349.20
  4. Step 4: Simplify right side
    306,638.85x = 63,634,859,379.63
  5. Step 5: Solve for x
    x = 63,634,859,379.63/306,638.85
  6. Step 6: Final answer
    x = 207,523.80

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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.