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Finding the Fourth Proportional to 309,557.74, 464,337.24 and 84,921.25

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Solution

The fourth proportional to 309,557.74, 464,337.24 and 84,921.25 is: 127,382.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,557.74 : 464,337.24 = 84,921.25 : x
  2. Step 2: Convert to fraction form
    309,557.74/464,337.24 = 84,921.25/x
  3. Step 3: Cross multiply
    309,557.74x = 464,337.24 × 84,921.25
  4. Step 4: Simplify right side
    309,557.74x = 39,432,098,842.35
  5. Step 5: Solve for x
    x = 39,432,098,842.35/309,557.74
  6. Step 6: Final answer
    x = 127,382.05

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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.