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Finding the Fourth Proportional to 408,355, 612,708.06 and 141,970.30

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Solution

The fourth proportional to 408,355, 612,708.06 and 141,970.30 is: 213,016.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,355 : 612,708.06 = 141,970.30 : x
  2. Step 2: Convert to fraction form
    408,355/612,708.06 = 141,970.30/x
  3. Step 3: Cross multiply
    408,355x = 612,708.06 × 141,970.30
  4. Step 4: Simplify right side
    408,355x = 86,986,347,090.62
  5. Step 5: Solve for x
    x = 86,986,347,090.62/408,355
  6. Step 6: Final answer
    x = 213,016.49

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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.