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Finding the Fourth Proportional to 253,000.16, 378,712.92 and 159,309.08

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Solution

The fourth proportional to 253,000.16, 378,712.92 and 159,309.08 is: 238,467.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,000.16 : 378,712.92 = 159,309.08 : x
  2. Step 2: Convert to fraction form
    253,000.16/378,712.92 = 159,309.08/x
  3. Step 3: Cross multiply
    253,000.16x = 378,712.92 × 159,309.08
  4. Step 4: Simplify right side
    253,000.16x = 60,332,406,869.31
  5. Step 5: Solve for x
    x = 60,332,406,869.31/253,000.16
  6. Step 6: Final answer
    x = 238,467.86

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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.