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Finding the Fourth Proportional to 229,261, 316,409.35 and 128,659

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Solution

The fourth proportional to 229,261, 316,409.35 and 128,659 is: 177,565.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,261 : 316,409.35 = 128,659 : x
  2. Step 2: Convert to fraction form
    229,261/316,409.35 = 128,659/x
  3. Step 3: Cross multiply
    229,261x = 316,409.35 × 128,659
  4. Step 4: Simplify right side
    229,261x = 40,708,910,561.65
  5. Step 5: Solve for x
    x = 40,708,910,561.65/229,261
  6. Step 6: Final answer
    x = 177,565.79

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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.