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Finding the Fourth Proportional to 288,803.40, 433,205.10 and 204,822.60

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Solution

The fourth proportional to 288,803.40, 433,205.10 and 204,822.60 is: 307,233.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,803.40 : 433,205.10 = 204,822.60 : x
  2. Step 2: Convert to fraction form
    288,803.40/433,205.10 = 204,822.60/x
  3. Step 3: Cross multiply
    288,803.40x = 433,205.10 × 204,822.60
  4. Step 4: Simplify right side
    288,803.40x = 88,730,194,915.26
  5. Step 5: Solve for x
    x = 88,730,194,915.26/288,803.40
  6. Step 6: Final answer
    x = 307,233.90

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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.