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Finding the Fourth Proportional to 225,311.01, 310,929.47 and 140,428

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Solution

The fourth proportional to 225,311.01, 310,929.47 and 140,428 is: 193,790.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,311.01 : 310,929.47 = 140,428 : x
  2. Step 2: Convert to fraction form
    225,311.01/310,929.47 = 140,428/x
  3. Step 3: Cross multiply
    225,311.01x = 310,929.47 × 140,428
  4. Step 4: Simplify right side
    225,311.01x = 43,663,203,613.16
  5. Step 5: Solve for x
    x = 43,663,203,613.16/225,311.01
  6. Step 6: Final answer
    x = 193,790.81

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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.