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Finding the Fourth Proportional to 257,532.72, 385,800.90 and 144,870.60

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Solution

The fourth proportional to 257,532.72, 385,800.90 and 144,870.60 is: 217,025.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,532.72 : 385,800.90 = 144,870.60 : x
  2. Step 2: Convert to fraction form
    257,532.72/385,800.90 = 144,870.60/x
  3. Step 3: Cross multiply
    257,532.72x = 385,800.90 × 144,870.60
  4. Step 4: Simplify right side
    257,532.72x = 55,891,207,863.54
  5. Step 5: Solve for x
    x = 55,891,207,863.54/257,532.72
  6. Step 6: Final answer
    x = 217,025.66

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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.