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Finding the Fourth Proportional to 288,654.60, 398,340.27 and 159,602.16

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Solution

The fourth proportional to 288,654.60, 398,340.27 and 159,602.16 is: 220,249.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,654.60 : 398,340.27 = 159,602.16 : x
  2. Step 2: Convert to fraction form
    288,654.60/398,340.27 = 159,602.16/x
  3. Step 3: Cross multiply
    288,654.60x = 398,340.27 × 159,602.16
  4. Step 4: Simplify right side
    288,654.60x = 63,575,967,506.98
  5. Step 5: Solve for x
    x = 63,575,967,506.98/288,654.60
  6. Step 6: Final answer
    x = 220,249.28

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1.5x scale

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.