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Finding the Fourth Proportional to 423,873.92, 585,463.50 and 316,918.28

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Solution

The fourth proportional to 423,873.92, 585,463.50 and 316,918.28 is: 437,734.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,873.92 : 585,463.50 = 316,918.28 : x
  2. Step 2: Convert to fraction form
    423,873.92/585,463.50 = 316,918.28/x
  3. Step 3: Cross multiply
    423,873.92x = 585,463.50 × 316,918.28
  4. Step 4: Simplify right side
    423,873.92x = 185,544,085,422.78
  5. Step 5: Solve for x
    x = 185,544,085,422.78/423,873.92
  6. Step 6: Final answer
    x = 437,734.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.