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Finding the Fourth Proportional to 230,257.60, 317,771.76 and 128,289.76

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Solution

The fourth proportional to 230,257.60, 317,771.76 and 128,289.76 is: 177,048.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,257.60 : 317,771.76 = 128,289.76 : x
  2. Step 2: Convert to fraction form
    230,257.60/317,771.76 = 128,289.76/x
  3. Step 3: Cross multiply
    230,257.60x = 317,771.76 × 128,289.76
  4. Step 4: Simplify right side
    230,257.60x = 40,766,862,825.18
  5. Step 5: Solve for x
    x = 40,766,862,825.18/230,257.60
  6. Step 6: Final answer
    x = 177,048.93

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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.