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Finding the Fourth Proportional to 579,020.40, 866,687.40 and 413,132.40

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Solution

The fourth proportional to 579,020.40, 866,687.40 and 413,132.40 is: 618,383.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,020.40 : 866,687.40 = 413,132.40 : x
  2. Step 2: Convert to fraction form
    579,020.40/866,687.40 = 413,132.40/x
  3. Step 3: Cross multiply
    579,020.40x = 866,687.40 × 413,132.40
  4. Step 4: Simplify right side
    579,020.40x = 358,056,645,611.76
  5. Step 5: Solve for x
    x = 358,056,645,611.76/579,020.40
  6. Step 6: Final answer
    x = 618,383.47

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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.