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Finding the Fourth Proportional to 417,918.50, 576,727.54 and 239,070.50

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Solution

The fourth proportional to 417,918.50, 576,727.54 and 239,070.50 is: 329,917.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,918.50 : 576,727.54 = 239,070.50 : x
  2. Step 2: Convert to fraction form
    417,918.50/576,727.54 = 239,070.50/x
  3. Step 3: Cross multiply
    417,918.50x = 576,727.54 × 239,070.50
  4. Step 4: Simplify right side
    417,918.50x = 137,878,541,351.57
  5. Step 5: Solve for x
    x = 137,878,541,351.57/417,918.50
  6. Step 6: Final answer
    x = 329,917.30

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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.