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Finding the Fourth Proportional to 309,707.76, 464,769.12 and 132,256.32

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Solution

The fourth proportional to 309,707.76, 464,769.12 and 132,256.32 is: 198,473.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,707.76 : 464,769.12 = 132,256.32 : x
  2. Step 2: Convert to fraction form
    309,707.76/464,769.12 = 132,256.32/x
  3. Step 3: Cross multiply
    309,707.76x = 464,769.12 × 132,256.32
  4. Step 4: Simplify right side
    309,707.76x = 61,468,653,460.84
  5. Step 5: Solve for x
    x = 61,468,653,460.84/309,707.76
  6. Step 6: Final answer
    x = 198,473.08

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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.