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Finding the Fourth Proportional to 876,384, 1,209,409.92 and 473,976

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Solution

The fourth proportional to 876,384, 1,209,409.92 and 473,976 is: 654,086.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,384 : 1,209,409.92 = 473,976 : x
  2. Step 2: Convert to fraction form
    876,384/1,209,409.92 = 473,976/x
  3. Step 3: Cross multiply
    876,384x = 1,209,409.92 × 473,976
  4. Step 4: Simplify right side
    876,384x = 573,231,276,241.92
  5. Step 5: Solve for x
    x = 573,231,276,241.92/876,384
  6. Step 6: Final answer
    x = 654,086.88

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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.