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Finding the Fourth Proportional to 417,805.47, 577,046.40 and 281,604.63

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Solution

The fourth proportional to 417,805.47, 577,046.40 and 281,604.63 is: 388,934.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,805.47 : 577,046.40 = 281,604.63 : x
  2. Step 2: Convert to fraction form
    417,805.47/577,046.40 = 281,604.63/x
  3. Step 3: Cross multiply
    417,805.47x = 577,046.40 × 281,604.63
  4. Step 4: Simplify right side
    417,805.47x = 162,498,937,964.83
  5. Step 5: Solve for x
    x = 162,498,937,964.83/417,805.47
  6. Step 6: Final answer
    x = 388,934.44

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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.