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Finding the Fourth Proportional to 288,465.15, 398,080.91 and 159,400.02

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Solution

The fourth proportional to 288,465.15, 398,080.91 and 159,400.02 is: 219,971.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,465.15 : 398,080.91 = 159,400.02 : x
  2. Step 2: Convert to fraction form
    288,465.15/398,080.91 = 159,400.02/x
  3. Step 3: Cross multiply
    288,465.15x = 398,080.91 × 159,400.02
  4. Step 4: Simplify right side
    288,465.15x = 63,454,104,218.62
  5. Step 5: Solve for x
    x = 63,454,104,218.62/288,465.15
  6. Step 6: Final answer
    x = 219,971.48

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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.