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Finding the Fourth Proportional to 288,165.64, 397,621.02 and 160,841.20

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Solution

The fourth proportional to 288,165.64, 397,621.02 and 160,841.20 is: 221,934.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,165.64 : 397,621.02 = 160,841.20 : x
  2. Step 2: Convert to fraction form
    288,165.64/397,621.02 = 160,841.20/x
  3. Step 3: Cross multiply
    288,165.64x = 397,621.02 × 160,841.20
  4. Step 4: Simplify right side
    288,165.64x = 63,953,842,002.02
  5. Step 5: Solve for x
    x = 63,953,842,002.02/288,165.64
  6. Step 6: Final answer
    x = 221,934.31

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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.