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Finding the Fourth Proportional to 257,238.52, 385,884.50 and 70,250

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Solution

The fourth proportional to 257,238.52, 385,884.50 and 70,250 is: 105,382.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,238.52 : 385,884.50 = 70,250 : x
  2. Step 2: Convert to fraction form
    257,238.52/385,884.50 = 70,250/x
  3. Step 3: Cross multiply
    257,238.52x = 385,884.50 × 70,250
  4. Step 4: Simplify right side
    257,238.52x = 27,108,386,125
  5. Step 5: Solve for x
    x = 27,108,386,125/257,238.52
  6. Step 6: Final answer
    x = 105,382.30

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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.