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Finding the Fourth Proportional to 408,270.58, 612,506.33 and 142,033.40

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Solution

The fourth proportional to 408,270.58, 612,506.33 and 142,033.40 is: 213,085.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,270.58 : 612,506.33 = 142,033.40 : x
  2. Step 2: Convert to fraction form
    408,270.58/612,506.33 = 142,033.40/x
  3. Step 3: Cross multiply
    408,270.58x = 612,506.33 × 142,033.40
  4. Step 4: Simplify right side
    408,270.58x = 86,996,356,027.72
  5. Step 5: Solve for x
    x = 86,996,356,027.72/408,270.58
  6. Step 6: Final answer
    x = 213,085.05

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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.