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Finding the Fourth Proportional to 309,487.20, 464,275.44 and 117,432.48

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Solution

The fourth proportional to 309,487.20, 464,275.44 and 117,432.48 is: 176,165.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,487.20 : 464,275.44 = 117,432.48 : x
  2. Step 2: Convert to fraction form
    309,487.20/464,275.44 = 117,432.48/x
  3. Step 3: Cross multiply
    309,487.20x = 464,275.44 × 117,432.48
  4. Step 4: Simplify right side
    309,487.20x = 54,521,016,322.29
  5. Step 5: Solve for x
    x = 54,521,016,322.29/309,487.20
  6. Step 6: Final answer
    x = 176,165.66

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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.