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Finding the Fourth Proportional to 876,141, 1,209,116.70 and 494,159.04

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Solution

The fourth proportional to 876,141, 1,209,116.70 and 494,159.04 is: 681,963.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,141 : 1,209,116.70 = 494,159.04 : x
  2. Step 2: Convert to fraction form
    876,141/1,209,116.70 = 494,159.04/x
  3. Step 3: Cross multiply
    876,141x = 1,209,116.70 × 494,159.04
  4. Step 4: Simplify right side
    876,141x = 597,495,947,719.97
  5. Step 5: Solve for x
    x = 597,495,947,719.97/876,141
  6. Step 6: Final answer
    x = 681,963.23

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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.