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Finding the Fourth Proportional to 308,987.64, 463,364.82 and 142,659

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Solution

The fourth proportional to 308,987.64, 463,364.82 and 142,659 is: 213,934.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,987.64 : 463,364.82 = 142,659 : x
  2. Step 2: Convert to fraction form
    308,987.64/463,364.82 = 142,659/x
  3. Step 3: Cross multiply
    308,987.64x = 463,364.82 × 142,659
  4. Step 4: Simplify right side
    308,987.64x = 66,103,161,856.38
  5. Step 5: Solve for x
    x = 66,103,161,856.38/308,987.64
  6. Step 6: Final answer
    x = 213,934.65

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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.