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Finding the Fourth Proportional to 454,075.80, 680,627.70 and 154,278.60

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Solution

The fourth proportional to 454,075.80, 680,627.70 and 154,278.60 is: 231,252.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,075.80 : 680,627.70 = 154,278.60 : x
  2. Step 2: Convert to fraction form
    454,075.80/680,627.70 = 154,278.60/x
  3. Step 3: Cross multiply
    454,075.80x = 680,627.70 × 154,278.60
  4. Step 4: Simplify right side
    454,075.80x = 105,006,288,677.22
  5. Step 5: Solve for x
    x = 105,006,288,677.22/454,075.80
  6. Step 6: Final answer
    x = 231,252.77

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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.