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Finding the Fourth Proportional to 578,734.52, 867,051.90 and 427,306.64

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Solution

The fourth proportional to 578,734.52, 867,051.90 and 427,306.64 is: 640,184.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,734.52 : 867,051.90 = 427,306.64 : x
  2. Step 2: Convert to fraction form
    578,734.52/867,051.90 = 427,306.64/x
  3. Step 3: Cross multiply
    578,734.52x = 867,051.90 × 427,306.64
  4. Step 4: Simplify right side
    578,734.52x = 370,497,034,094.62
  5. Step 5: Solve for x
    x = 370,497,034,094.62/578,734.52
  6. Step 6: Final answer
    x = 640,184.78

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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.