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Finding the Fourth Proportional to 408,392.16, 612,763.56 and 142,007.40

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Solution

The fourth proportional to 408,392.16, 612,763.56 and 142,007.40 is: 213,072.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,392.16 : 612,763.56 = 142,007.40 : x
  2. Step 2: Convert to fraction form
    408,392.16/612,763.56 = 142,007.40/x
  3. Step 3: Cross multiply
    408,392.16x = 612,763.56 × 142,007.40
  4. Step 4: Simplify right side
    408,392.16x = 87,016,959,970.34
  5. Step 5: Solve for x
    x = 87,016,959,970.34/408,392.16
  6. Step 6: Final answer
    x = 213,072.06

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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.