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Finding the Fourth Proportional to 434,874.84, 600,031.44 and 420,539.04

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Solution

The fourth proportional to 434,874.84, 600,031.44 and 420,539.04 is: 580,251.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,874.84 : 600,031.44 = 420,539.04 : x
  2. Step 2: Convert to fraction form
    434,874.84/600,031.44 = 420,539.04/x
  3. Step 3: Cross multiply
    434,874.84x = 600,031.44 × 420,539.04
  4. Step 4: Simplify right side
    434,874.84x = 252,336,645,747.42
  5. Step 5: Solve for x
    x = 252,336,645,747.42/434,874.84
  6. Step 6: Final answer
    x = 580,251.20

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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.