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Finding the Fourth Proportional to 511,726.40, 767,582.40 and 231,243.20

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Solution

The fourth proportional to 511,726.40, 767,582.40 and 231,243.20 is: 346,861.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,726.40 : 767,582.40 = 231,243.20 : x
  2. Step 2: Convert to fraction form
    511,726.40/767,582.40 = 231,243.20/x
  3. Step 3: Cross multiply
    511,726.40x = 767,582.40 × 231,243.20
  4. Step 4: Simplify right side
    511,726.40x = 177,498,210,439.68
  5. Step 5: Solve for x
    x = 177,498,210,439.68/511,726.40
  6. Step 6: Final answer
    x = 346,861.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.