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Finding the Fourth Proportional to 513,032.80, 768,878.10 and 275,864.80

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Solution

The fourth proportional to 513,032.80, 768,878.10 and 275,864.80 is: 413,436.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,032.80 : 768,878.10 = 275,864.80 : x
  2. Step 2: Convert to fraction form
    513,032.80/768,878.10 = 275,864.80/x
  3. Step 3: Cross multiply
    513,032.80x = 768,878.10 × 275,864.80
  4. Step 4: Simplify right side
    513,032.80x = 212,106,403,280.88
  5. Step 5: Solve for x
    x = 212,106,403,280.88/513,032.80
  6. Step 6: Final answer
    x = 413,436.34

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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.