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Finding the Fourth Proportional to 288,815.32, 433,224.20 and 189,603.28

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Solution

The fourth proportional to 288,815.32, 433,224.20 and 189,603.28 is: 284,405.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,815.32 : 433,224.20 = 189,603.28 : x
  2. Step 2: Convert to fraction form
    288,815.32/433,224.20 = 189,603.28/x
  3. Step 3: Cross multiply
    288,815.32x = 433,224.20 × 189,603.28
  4. Step 4: Simplify right side
    288,815.32x = 82,140,729,295.38
  5. Step 5: Solve for x
    x = 82,140,729,295.38/288,815.32
  6. Step 6: Final answer
    x = 284,405.72

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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.