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Finding the Fourth Proportional to 400,013.32, 600,020.57 and 163,356

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Solution

The fourth proportional to 400,013.32, 600,020.57 and 163,356 is: 245,034.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,013.32 : 600,020.57 = 163,356 : x
  2. Step 2: Convert to fraction form
    400,013.32/600,020.57 = 163,356/x
  3. Step 3: Cross multiply
    400,013.32x = 600,020.57 × 163,356
  4. Step 4: Simplify right side
    400,013.32x = 98,016,960,232.92
  5. Step 5: Solve for x
    x = 98,016,960,232.92/400,013.32
  6. Step 6: Final answer
    x = 245,034.24

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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.