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Finding the Fourth Proportional to 288,662, 398,367.46 and 159,598.10

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Solution

The fourth proportional to 288,662, 398,367.46 and 159,598.10 is: 220,253.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,662 : 398,367.46 = 159,598.10 : x
  2. Step 2: Convert to fraction form
    288,662/398,367.46 = 159,598.10/x
  3. Step 3: Cross multiply
    288,662x = 398,367.46 × 159,598.10
  4. Step 4: Simplify right side
    288,662x = 63,578,689,717.83
  5. Step 5: Solve for x
    x = 63,578,689,717.83/288,662
  6. Step 6: Final answer
    x = 220,253.06

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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.