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Finding the Fourth Proportional to 229,378.13, 316,541.82 and 128,776.13

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Solution

The fourth proportional to 229,378.13, 316,541.82 and 128,776.13 is: 177,711.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,378.13 : 316,541.82 = 128,776.13 : x
  2. Step 2: Convert to fraction form
    229,378.13/316,541.82 = 128,776.13/x
  3. Step 3: Cross multiply
    229,378.13x = 316,541.82 × 128,776.13
  4. Step 4: Simplify right side
    229,378.13x = 40,763,028,980.05
  5. Step 5: Solve for x
    x = 40,763,028,980.05/229,378.13
  6. Step 6: Final answer
    x = 177,711.06

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1.5x scale

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.