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Finding the Fourth Proportional to 270,877.32, 406,422.90 and 83,903.40

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Solution

The fourth proportional to 270,877.32, 406,422.90 and 83,903.40 is: 125,888.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,877.32 : 406,422.90 = 83,903.40 : x
  2. Step 2: Convert to fraction form
    270,877.32/406,422.90 = 83,903.40/x
  3. Step 3: Cross multiply
    270,877.32x = 406,422.90 × 83,903.40
  4. Step 4: Simplify right side
    270,877.32x = 34,100,263,147.86
  5. Step 5: Solve for x
    x = 34,100,263,147.86/270,877.32
  6. Step 6: Final answer
    x = 125,888.22

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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.