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Finding the Fourth Proportional to 400,101.60, 600,152.40 and 163,288.80

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Solution

The fourth proportional to 400,101.60, 600,152.40 and 163,288.80 is: 244,933.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,101.60 : 600,152.40 = 163,288.80 : x
  2. Step 2: Convert to fraction form
    400,101.60/600,152.40 = 163,288.80/x
  3. Step 3: Cross multiply
    400,101.60x = 600,152.40 × 163,288.80
  4. Step 4: Simplify right side
    400,101.60x = 97,998,165,213.12
  5. Step 5: Solve for x
    x = 97,998,165,213.12/400,101.60
  6. Step 6: Final answer
    x = 244,933.20

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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.