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Finding the Fourth Proportional to 230,049.95, 317,461.15 and 129,428.51

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Solution

The fourth proportional to 230,049.95, 317,461.15 and 129,428.51 is: 178,606.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,049.95 : 317,461.15 = 129,428.51 : x
  2. Step 2: Convert to fraction form
    230,049.95/317,461.15 = 129,428.51/x
  3. Step 3: Cross multiply
    230,049.95x = 317,461.15 × 129,428.51
  4. Step 4: Simplify right side
    230,049.95x = 41,088,523,627.39
  5. Step 5: Solve for x
    x = 41,088,523,627.39/230,049.95
  6. Step 6: Final answer
    x = 178,606.97

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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.