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Finding the Fourth Proportional to 427,002.26, 640,503.38 and 111,459.47

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Solution

The fourth proportional to 427,002.26, 640,503.38 and 111,459.47 is: 167,189.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,002.26 : 640,503.38 = 111,459.47 : x
  2. Step 2: Convert to fraction form
    427,002.26/640,503.38 = 111,459.47/x
  3. Step 3: Cross multiply
    427,002.26x = 640,503.38 × 111,459.47
  4. Step 4: Simplify right side
    427,002.26x = 71,390,164,344.14
  5. Step 5: Solve for x
    x = 71,390,164,344.14/427,002.26
  6. Step 6: Final answer
    x = 167,189.20

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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.