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Finding the Fourth Proportional to 306,008.10, 458,793.45 and 137,390.40

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Solution

The fourth proportional to 306,008.10, 458,793.45 and 137,390.40 is: 205,987.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,008.10 : 458,793.45 = 137,390.40 : x
  2. Step 2: Convert to fraction form
    306,008.10/458,793.45 = 137,390.40/x
  3. Step 3: Cross multiply
    306,008.10x = 458,793.45 × 137,390.40
  4. Step 4: Simplify right side
    306,008.10x = 63,033,815,612.88
  5. Step 5: Solve for x
    x = 63,033,815,612.88/306,008.10
  6. Step 6: Final answer
    x = 205,987.41

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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.