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Finding the Fourth Proportional to 456,091.20, 684,331.20 and 287,740.80

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Solution

The fourth proportional to 456,091.20, 684,331.20 and 287,740.80 is: 431,733.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,091.20 : 684,331.20 = 287,740.80 : x
  2. Step 2: Convert to fraction form
    456,091.20/684,331.20 = 287,740.80/x
  3. Step 3: Cross multiply
    456,091.20x = 684,331.20 × 287,740.80
  4. Step 4: Simplify right side
    456,091.20x = 196,910,006,952.96
  5. Step 5: Solve for x
    x = 196,910,006,952.96/456,091.20
  6. Step 6: Final answer
    x = 431,733.84

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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.