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Finding the Fourth Proportional to 309,801.06, 464,750.24 and 132,309

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Solution

The fourth proportional to 309,801.06, 464,750.24 and 132,309 is: 198,484.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,801.06 : 464,750.24 = 132,309 : x
  2. Step 2: Convert to fraction form
    309,801.06/464,750.24 = 132,309/x
  3. Step 3: Cross multiply
    309,801.06x = 464,750.24 × 132,309
  4. Step 4: Simplify right side
    309,801.06x = 61,490,638,842.62
  5. Step 5: Solve for x
    x = 61,490,638,842.62/309,801.06
  6. Step 6: Final answer
    x = 198,484.28

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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.