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Finding the Fourth Proportional to 259,999.68, 390,001.44 and 82,507.20

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Solution

The fourth proportional to 259,999.68, 390,001.44 and 82,507.20 is: 123,761.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,999.68 : 390,001.44 = 82,507.20 : x
  2. Step 2: Convert to fraction form
    259,999.68/390,001.44 = 82,507.20/x
  3. Step 3: Cross multiply
    259,999.68x = 390,001.44 × 82,507.20
  4. Step 4: Simplify right side
    259,999.68x = 32,177,926,810.37
  5. Step 5: Solve for x
    x = 32,177,926,810.37/259,999.68
  6. Step 6: Final answer
    x = 123,761.41

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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.