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Finding the Fourth Proportional to 535,301.80, 738,714.36 and 293,578

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Solution

The fourth proportional to 535,301.80, 738,714.36 and 293,578 is: 405,136.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,301.80 : 738,714.36 = 293,578 : x
  2. Step 2: Convert to fraction form
    535,301.80/738,714.36 = 293,578/x
  3. Step 3: Cross multiply
    535,301.80x = 738,714.36 × 293,578
  4. Step 4: Simplify right side
    535,301.80x = 216,870,284,380.08
  5. Step 5: Solve for x
    x = 216,870,284,380.08/535,301.80
  6. Step 6: Final answer
    x = 405,136.48

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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.