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Finding the Fourth Proportional to 225,258.90, 310,892.18 and 128,462.96

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Solution

The fourth proportional to 225,258.90, 310,892.18 and 128,462.96 is: 177,298.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,258.90 : 310,892.18 = 128,462.96 : x
  2. Step 2: Convert to fraction form
    225,258.90/310,892.18 = 128,462.96/x
  3. Step 3: Cross multiply
    225,258.90x = 310,892.18 × 128,462.96
  4. Step 4: Simplify right side
    225,258.90x = 39,938,129,683.65
  5. Step 5: Solve for x
    x = 39,938,129,683.65/225,258.90
  6. Step 6: Final answer
    x = 177,298.79

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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.