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Finding the Fourth Proportional to 443,215.20, 664,822.80 and 403,816.80

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Solution

The fourth proportional to 443,215.20, 664,822.80 and 403,816.80 is: 605,725.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,215.20 : 664,822.80 = 403,816.80 : x
  2. Step 2: Convert to fraction form
    443,215.20/664,822.80 = 403,816.80/x
  3. Step 3: Cross multiply
    443,215.20x = 664,822.80 × 403,816.80
  4. Step 4: Simplify right side
    443,215.20x = 268,466,615,663.04
  5. Step 5: Solve for x
    x = 268,466,615,663.04/443,215.20
  6. Step 6: Final answer
    x = 605,725.20

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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.