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Finding the Fourth Proportional to 456,567.84, 629,920.80 and 275,335.20

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Solution

The fourth proportional to 456,567.84, 629,920.80 and 275,335.20 is: 379,876.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,567.84 : 629,920.80 = 275,335.20 : x
  2. Step 2: Convert to fraction form
    456,567.84/629,920.80 = 275,335.20/x
  3. Step 3: Cross multiply
    456,567.84x = 629,920.80 × 275,335.20
  4. Step 4: Simplify right side
    456,567.84x = 173,439,369,452.16
  5. Step 5: Solve for x
    x = 173,439,369,452.16/456,567.84
  6. Step 6: Final answer
    x = 379,876.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.