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Finding the Fourth Proportional to 647,459.20, 970,897.20 and 247,967.20

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Solution

The fourth proportional to 647,459.20, 970,897.20 and 247,967.20 is: 371,839.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,459.20 : 970,897.20 = 247,967.20 : x
  2. Step 2: Convert to fraction form
    647,459.20/970,897.20 = 247,967.20/x
  3. Step 3: Cross multiply
    647,459.20x = 970,897.20 × 247,967.20
  4. Step 4: Simplify right side
    647,459.20x = 240,750,660,171.84
  5. Step 5: Solve for x
    x = 240,750,660,171.84/647,459.20
  6. Step 6: Final answer
    x = 371,839.12

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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.