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Finding the Fourth Proportional to 200,754,352.80, 300,459,682.80 and 140,288,176.80

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Solution

The fourth proportional to 200,754,352.80, 300,459,682.80 and 140,288,176.80 is: 209,962,775.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,754,352.80 : 300,459,682.80 = 140,288,176.80 : x
  2. Step 2: Convert to fraction form
    200,754,352.80/300,459,682.80 = 140,288,176.80/x
  3. Step 3: Cross multiply
    200,754,352.80x = 300,459,682.80 × 140,288,176.80
  4. Step 4: Simplify right side
    200,754,352.80x = 42,150,941,101,918,328
  5. Step 5: Solve for x
    x = 42,150,941,101,918,328/200,754,352.80
  6. Step 6: Final answer
    x = 209,962,775.47

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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.