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Finding the Fourth Proportional to 419,333.68, 578,665.20 and 228,342.88

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Solution

The fourth proportional to 419,333.68, 578,665.20 and 228,342.88 is: 315,104.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,333.68 : 578,665.20 = 228,342.88 : x
  2. Step 2: Convert to fraction form
    419,333.68/578,665.20 = 228,342.88/x
  3. Step 3: Cross multiply
    419,333.68x = 578,665.20 × 228,342.88
  4. Step 4: Simplify right side
    419,333.68x = 132,134,078,323.78
  5. Step 5: Solve for x
    x = 132,134,078,323.78/419,333.68
  6. Step 6: Final answer
    x = 315,104.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.