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Finding the Fourth Proportional to 418,020.66, 576,862.29 and 234,256.50

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Solution

The fourth proportional to 418,020.66, 576,862.29 and 234,256.50 is: 323,270.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,020.66 : 576,862.29 = 234,256.50 : x
  2. Step 2: Convert to fraction form
    418,020.66/576,862.29 = 234,256.50/x
  3. Step 3: Cross multiply
    418,020.66x = 576,862.29 × 234,256.50
  4. Step 4: Simplify right side
    418,020.66x = 135,133,741,037.39
  5. Step 5: Solve for x
    x = 135,133,741,037.39/418,020.66
  6. Step 6: Final answer
    x = 323,270.48

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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.