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Finding the Fourth Proportional to 418,531.70, 577,547.88 and 234,760.16

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Solution

The fourth proportional to 418,531.70, 577,547.88 and 234,760.16 is: 323,954.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,531.70 : 577,547.88 = 234,760.16 : x
  2. Step 2: Convert to fraction form
    418,531.70/577,547.88 = 234,760.16/x
  3. Step 3: Cross multiply
    418,531.70x = 577,547.88 × 234,760.16
  4. Step 4: Simplify right side
    418,531.70x = 135,585,232,716.46
  5. Step 5: Solve for x
    x = 135,585,232,716.46/418,531.70
  6. Step 6: Final answer
    x = 323,954.51

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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.