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Finding the Fourth Proportional to 265,766,716.80, 398,650,075.20 and 149,062,273.20

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Solution

The fourth proportional to 265,766,716.80, 398,650,075.20 and 149,062,273.20 is: 223,593,409.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,766,716.80 : 398,650,075.20 = 149,062,273.20 : x
  2. Step 2: Convert to fraction form
    265,766,716.80/398,650,075.20 = 149,062,273.20/x
  3. Step 3: Cross multiply
    265,766,716.80x = 398,650,075.20 × 149,062,273.20
  4. Step 4: Simplify right side
    265,766,716.80x = 59,423,686,420,662,936
  5. Step 5: Solve for x
    x = 59,423,686,420,662,936/265,766,716.80
  6. Step 6: Final answer
    x = 223,593,409.80

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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.