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Finding the Fourth Proportional to 309,331.08, 463,897.80 and 98,919

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Solution

The fourth proportional to 309,331.08, 463,897.80 and 98,919 is: 148,346.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,331.08 : 463,897.80 = 98,919 : x
  2. Step 2: Convert to fraction form
    309,331.08/463,897.80 = 98,919/x
  3. Step 3: Cross multiply
    309,331.08x = 463,897.80 × 98,919
  4. Step 4: Simplify right side
    309,331.08x = 45,888,306,478.20
  5. Step 5: Solve for x
    x = 45,888,306,478.20/309,331.08
  6. Step 6: Final answer
    x = 148,346.90

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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.