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Finding the Fourth Proportional to 400,203.64, 600,306.36 and 163,546.30

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Solution

The fourth proportional to 400,203.64, 600,306.36 and 163,546.30 is: 245,319.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,203.64 : 600,306.36 = 163,546.30 : x
  2. Step 2: Convert to fraction form
    400,203.64/600,306.36 = 163,546.30/x
  3. Step 3: Cross multiply
    400,203.64x = 600,306.36 × 163,546.30
  4. Step 4: Simplify right side
    400,203.64x = 98,177,884,044.47
  5. Step 5: Solve for x
    x = 98,177,884,044.47/400,203.64
  6. Step 6: Final answer
    x = 245,319.82

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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.