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Finding the Fourth Proportional to 578,954.80, 868,434.29 and 409,963.96

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Solution

The fourth proportional to 578,954.80, 868,434.29 and 409,963.96 is: 614,947.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,954.80 : 868,434.29 = 409,963.96 : x
  2. Step 2: Convert to fraction form
    578,954.80/868,434.29 = 409,963.96/x
  3. Step 3: Cross multiply
    578,954.80x = 868,434.29 × 409,963.96
  4. Step 4: Simplify right side
    578,954.80x = 356,026,760,528.19
  5. Step 5: Solve for x
    x = 356,026,760,528.19/578,954.80
  6. Step 6: Final answer
    x = 614,947.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.