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Finding the Fourth Proportional to 417,901, 576,703.38 and 239,053

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Solution

The fourth proportional to 417,901, 576,703.38 and 239,053 is: 329,893.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,901 : 576,703.38 = 239,053 : x
  2. Step 2: Convert to fraction form
    417,901/576,703.38 = 239,053/x
  3. Step 3: Cross multiply
    417,901x = 576,703.38 × 239,053
  4. Step 4: Simplify right side
    417,901x = 137,862,673,099.14
  5. Step 5: Solve for x
    x = 137,862,673,099.14/417,901
  6. Step 6: Final answer
    x = 329,893.14

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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.