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Finding the Fourth Proportional to 400,153.76, 600,399.12 and 175,398.20

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Solution

The fourth proportional to 400,153.76, 600,399.12 and 175,398.20 is: 263,171.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,153.76 : 600,399.12 = 175,398.20 : x
  2. Step 2: Convert to fraction form
    400,153.76/600,399.12 = 175,398.20/x
  3. Step 3: Cross multiply
    400,153.76x = 600,399.12 × 175,398.20
  4. Step 4: Simplify right side
    400,153.76x = 105,308,924,929.58
  5. Step 5: Solve for x
    x = 105,308,924,929.58/400,153.76
  6. Step 6: Final answer
    x = 263,171.15

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1.5x scale

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.