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Finding the Fourth Proportional to 230,049.45, 317,460.47 and 129,428.01

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Solution

The fourth proportional to 230,049.45, 317,460.47 and 129,428.01 is: 178,606.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,049.45 : 317,460.47 = 129,428.01 : x
  2. Step 2: Convert to fraction form
    230,049.45/317,460.47 = 129,428.01/x
  3. Step 3: Cross multiply
    230,049.45x = 317,460.47 × 129,428.01
  4. Step 4: Simplify right side
    230,049.45x = 41,088,276,238.62
  5. Step 5: Solve for x
    x = 41,088,276,238.62/230,049.45
  6. Step 6: Final answer
    x = 178,606.28

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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.