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Finding the Fourth Proportional to 511,399.20, 767,098.80 and 290,215.20

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Solution

The fourth proportional to 511,399.20, 767,098.80 and 290,215.20 is: 435,322.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,399.20 : 767,098.80 = 290,215.20 : x
  2. Step 2: Convert to fraction form
    511,399.20/767,098.80 = 290,215.20/x
  3. Step 3: Cross multiply
    511,399.20x = 767,098.80 × 290,215.20
  4. Step 4: Simplify right side
    511,399.20x = 222,623,731,661.76
  5. Step 5: Solve for x
    x = 222,623,731,661.76/511,399.20
  6. Step 6: Final answer
    x = 435,322.80

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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.