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Finding the Fourth Proportional to 257,993.01, 387,013.95 and 100,233.63

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Solution

The fourth proportional to 257,993.01, 387,013.95 and 100,233.63 is: 150,359.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,993.01 : 387,013.95 = 100,233.63 : x
  2. Step 2: Convert to fraction form
    257,993.01/387,013.95 = 100,233.63/x
  3. Step 3: Cross multiply
    257,993.01x = 387,013.95 × 100,233.63
  4. Step 4: Simplify right side
    257,993.01x = 38,791,813,069.14
  5. Step 5: Solve for x
    x = 38,791,813,069.14/257,993.01
  6. Step 6: Final answer
    x = 150,359.94

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1.5x scale

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.