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Finding the Fourth Proportional to 538,590.65, 743,255.17 and 296,878.50

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Solution

The fourth proportional to 538,590.65, 743,255.17 and 296,878.50 is: 409,692.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,590.65 : 743,255.17 = 296,878.50 : x
  2. Step 2: Convert to fraction form
    538,590.65/743,255.17 = 296,878.50/x
  3. Step 3: Cross multiply
    538,590.65x = 743,255.17 × 296,878.50
  4. Step 4: Simplify right side
    538,590.65x = 220,656,479,244.65
  5. Step 5: Solve for x
    x = 220,656,479,244.65/538,590.65
  6. Step 6: Final answer
    x = 409,692.37

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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.