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Finding the Fourth Proportional to 309,327.08, 463,891.80 and 98,915

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Solution

The fourth proportional to 309,327.08, 463,891.80 and 98,915 is: 148,340.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,327.08 : 463,891.80 = 98,915 : x
  2. Step 2: Convert to fraction form
    309,327.08/463,891.80 = 98,915/x
  3. Step 3: Cross multiply
    309,327.08x = 463,891.80 × 98,915
  4. Step 4: Simplify right side
    309,327.08x = 45,885,857,397
  5. Step 5: Solve for x
    x = 45,885,857,397/309,327.08
  6. Step 6: Final answer
    x = 148,340.90

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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.