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Finding the Fourth Proportional to 230,214.80, 317,691.63 and 128,240.12

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Solution

The fourth proportional to 230,214.80, 317,691.63 and 128,240.12 is: 176,968.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,214.80 : 317,691.63 = 128,240.12 : x
  2. Step 2: Convert to fraction form
    230,214.80/317,691.63 = 128,240.12/x
  3. Step 3: Cross multiply
    230,214.80x = 317,691.63 × 128,240.12
  4. Step 4: Simplify right side
    230,214.80x = 40,740,811,165.74
  5. Step 5: Solve for x
    x = 40,740,811,165.74/230,214.80
  6. Step 6: Final answer
    x = 176,968.69

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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.