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Finding the Fourth Proportional to 259,041.28, 388,617.12 and 146,775.28

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Solution

The fourth proportional to 259,041.28, 388,617.12 and 146,775.28 is: 220,194.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,041.28 : 388,617.12 = 146,775.28 : x
  2. Step 2: Convert to fraction form
    259,041.28/388,617.12 = 146,775.28/x
  3. Step 3: Cross multiply
    259,041.28x = 388,617.12 × 146,775.28
  4. Step 4: Simplify right side
    259,041.28x = 57,039,386,600.79
  5. Step 5: Solve for x
    x = 57,039,386,600.79/259,041.28
  6. Step 6: Final answer
    x = 220,194.20

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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.