Home / 253,123.16-380,275.20-148,016

Finding the Fourth Proportional to 253,123.16, 380,275.20 and 148,016

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Solution

The fourth proportional to 253,123.16, 380,275.20 and 148,016 is: 222,369.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,123.16 : 380,275.20 = 148,016 : x
  2. Step 2: Convert to fraction form
    253,123.16/380,275.20 = 148,016/x
  3. Step 3: Cross multiply
    253,123.16x = 380,275.20 × 148,016
  4. Step 4: Simplify right side
    253,123.16x = 56,286,814,003.20
  5. Step 5: Solve for x
    x = 56,286,814,003.20/253,123.16
  6. Step 6: Final answer
    x = 222,369.28

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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.