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Finding the Fourth Proportional to 230,010.85, 317,424.29 and 128,029.84

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Solution

The fourth proportional to 230,010.85, 317,424.29 and 128,029.84 is: 176,686.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,010.85 : 317,424.29 = 128,029.84 : x
  2. Step 2: Convert to fraction form
    230,010.85/317,424.29 = 128,029.84/x
  3. Step 3: Cross multiply
    230,010.85x = 317,424.29 × 128,029.84
  4. Step 4: Simplify right side
    230,010.85x = 40,639,781,600.11
  5. Step 5: Solve for x
    x = 40,639,781,600.11/230,010.85
  6. Step 6: Final answer
    x = 176,686.37

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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.