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Finding the Fourth Proportional to 457,587, 631,470.06 and 278,739

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Solution

The fourth proportional to 457,587, 631,470.06 and 278,739 is: 384,659.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,587 : 631,470.06 = 278,739 : x
  2. Step 2: Convert to fraction form
    457,587/631,470.06 = 278,739/x
  3. Step 3: Cross multiply
    457,587x = 631,470.06 × 278,739
  4. Step 4: Simplify right side
    457,587x = 176,015,333,054.34
  5. Step 5: Solve for x
    x = 176,015,333,054.34/457,587
  6. Step 6: Final answer
    x = 384,659.82

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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.