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Finding the Fourth Proportional to 535,306.80, 738,721.26 and 293,583

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Solution

The fourth proportional to 535,306.80, 738,721.26 and 293,583 is: 405,143.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,306.80 : 738,721.26 = 293,583 : x
  2. Step 2: Convert to fraction form
    535,306.80/738,721.26 = 293,583/x
  3. Step 3: Cross multiply
    535,306.80x = 738,721.26 × 293,583
  4. Step 4: Simplify right side
    535,306.80x = 216,876,003,674.58
  5. Step 5: Solve for x
    x = 216,876,003,674.58/535,306.80
  6. Step 6: Final answer
    x = 405,143.38

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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.