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Finding the Fourth Proportional to 189,432.80, 284,302.80 and 183,288.80

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Solution

The fourth proportional to 189,432.80, 284,302.80 and 183,288.80 is: 275,081.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,432.80 : 284,302.80 = 183,288.80 : x
  2. Step 2: Convert to fraction form
    189,432.80/284,302.80 = 183,288.80/x
  3. Step 3: Cross multiply
    189,432.80x = 284,302.80 × 183,288.80
  4. Step 4: Simplify right side
    189,432.80x = 52,109,519,048.64
  5. Step 5: Solve for x
    x = 52,109,519,048.64/189,432.80
  6. Step 6: Final answer
    x = 275,081.82

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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.