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Finding the Fourth Proportional to 438,143.40, 656,729.10 and 171,815.40

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Solution

The fourth proportional to 438,143.40, 656,729.10 and 171,815.40 is: 257,532.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,143.40 : 656,729.10 = 171,815.40 : x
  2. Step 2: Convert to fraction form
    438,143.40/656,729.10 = 171,815.40/x
  3. Step 3: Cross multiply
    438,143.40x = 656,729.10 × 171,815.40
  4. Step 4: Simplify right side
    438,143.40x = 112,836,173,008.14
  5. Step 5: Solve for x
    x = 112,836,173,008.14/438,143.40
  6. Step 6: Final answer
    x = 257,532.52

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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.