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Finding the Fourth Proportional to 522,393.23, 720,910.91 and 293,001.53

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Solution

The fourth proportional to 522,393.23, 720,910.91 and 293,001.53 is: 404,346.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,393.23 : 720,910.91 = 293,001.53 : x
  2. Step 2: Convert to fraction form
    522,393.23/720,910.91 = 293,001.53/x
  3. Step 3: Cross multiply
    522,393.23x = 720,910.91 × 293,001.53
  4. Step 4: Simplify right side
    522,393.23x = 211,227,996,751.64
  5. Step 5: Solve for x
    x = 211,227,996,751.64/522,393.23
  6. Step 6: Final answer
    x = 404,346.73

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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.