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Finding the Fourth Proportional to 229,287, 316,416.06 and 128,685

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Solution

The fourth proportional to 229,287, 316,416.06 and 128,685 is: 177,585.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,287 : 316,416.06 = 128,685 : x
  2. Step 2: Convert to fraction form
    229,287/316,416.06 = 128,685/x
  3. Step 3: Cross multiply
    229,287x = 316,416.06 × 128,685
  4. Step 4: Simplify right side
    229,287x = 40,718,000,681.10
  5. Step 5: Solve for x
    x = 40,718,000,681.10/229,287
  6. Step 6: Final answer
    x = 177,585.30

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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.