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Finding the Fourth Proportional to 437,686.80, 656,069.40 and 171,344.40

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Solution

The fourth proportional to 437,686.80, 656,069.40 and 171,344.40 is: 256,836.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,686.80 : 656,069.40 = 171,344.40 : x
  2. Step 2: Convert to fraction form
    437,686.80/656,069.40 = 171,344.40/x
  3. Step 3: Cross multiply
    437,686.80x = 656,069.40 × 171,344.40
  4. Step 4: Simplify right side
    437,686.80x = 112,413,817,701.36
  5. Step 5: Solve for x
    x = 112,413,817,701.36/437,686.80
  6. Step 6: Final answer
    x = 256,836.21

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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.