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Finding the Fourth Proportional to 230,763.90, 318,470.16 and 128,809.20

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Solution

The fourth proportional to 230,763.90, 318,470.16 and 128,809.20 is: 177,765.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,763.90 : 318,470.16 = 128,809.20 : x
  2. Step 2: Convert to fraction form
    230,763.90/318,470.16 = 128,809.20/x
  3. Step 3: Cross multiply
    230,763.90x = 318,470.16 × 128,809.20
  4. Step 4: Simplify right side
    230,763.90x = 41,021,886,533.47
  5. Step 5: Solve for x
    x = 41,021,886,533.47/230,763.90
  6. Step 6: Final answer
    x = 177,765.61

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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.