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Finding the Fourth Proportional to 257,459.68, 355,288.38 and 142,737.76

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Solution

The fourth proportional to 257,459.68, 355,288.38 and 142,737.76 is: 196,974.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,459.68 : 355,288.38 = 142,737.76 : x
  2. Step 2: Convert to fraction form
    257,459.68/355,288.38 = 142,737.76/x
  3. Step 3: Cross multiply
    257,459.68x = 355,288.38 × 142,737.76
  4. Step 4: Simplify right side
    257,459.68x = 50,713,067,515.23
  5. Step 5: Solve for x
    x = 50,713,067,515.23/257,459.68
  6. Step 6: Final answer
    x = 196,974.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.