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Finding the Fourth Proportional to 428,278.80, 641,803.80 and 315,075.60

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Solution

The fourth proportional to 428,278.80, 641,803.80 and 315,075.60 is: 472,161.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,278.80 : 641,803.80 = 315,075.60 : x
  2. Step 2: Convert to fraction form
    428,278.80/641,803.80 = 315,075.60/x
  3. Step 3: Cross multiply
    428,278.80x = 641,803.80 × 315,075.60
  4. Step 4: Simplify right side
    428,278.80x = 202,216,717,367.28
  5. Step 5: Solve for x
    x = 202,216,717,367.28/428,278.80
  6. Step 6: Final answer
    x = 472,161.40

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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.