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Finding the Fourth Proportional to 419,518.52, 578,932.74 and 228,532.04

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Solution

The fourth proportional to 419,518.52, 578,932.74 and 228,532.04 is: 315,372.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,518.52 : 578,932.74 = 228,532.04 : x
  2. Step 2: Convert to fraction form
    419,518.52/578,932.74 = 228,532.04/x
  3. Step 3: Cross multiply
    419,518.52x = 578,932.74 × 228,532.04
  4. Step 4: Simplify right side
    419,518.52x = 132,304,680,094.99
  5. Step 5: Solve for x
    x = 132,304,680,094.99/419,518.52
  6. Step 6: Final answer
    x = 315,372.68

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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.