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Finding the Fourth Proportional to 230,303.27, 317,810.12 and 128,323.46

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Solution

The fourth proportional to 230,303.27, 317,810.12 and 128,323.46 is: 177,081.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,303.27 : 317,810.12 = 128,323.46 : x
  2. Step 2: Convert to fraction form
    230,303.27/317,810.12 = 128,323.46/x
  3. Step 3: Cross multiply
    230,303.27x = 317,810.12 × 128,323.46
  4. Step 4: Simplify right side
    230,303.27x = 40,782,491,990.75
  5. Step 5: Solve for x
    x = 40,782,491,990.75/230,303.27
  6. Step 6: Final answer
    x = 177,081.69

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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.