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Finding the Fourth Proportional to 417,958.47, 576,995.13 and 265,152.78

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Solution

The fourth proportional to 417,958.47, 576,995.13 and 265,152.78 is: 366,045.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,958.47 : 576,995.13 = 265,152.78 : x
  2. Step 2: Convert to fraction form
    417,958.47/576,995.13 = 265,152.78/x
  3. Step 3: Cross multiply
    417,958.47x = 576,995.13 × 265,152.78
  4. Step 4: Simplify right side
    417,958.47x = 152,991,862,765.96
  5. Step 5: Solve for x
    x = 152,991,862,765.96/417,958.47
  6. Step 6: Final answer
    x = 366,045.61

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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.