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Finding the Fourth Proportional to 514,346.39, 771,238.34 and 408,410.84

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Solution

The fourth proportional to 514,346.39, 771,238.34 and 408,410.84 is: 612,392.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,346.39 : 771,238.34 = 408,410.84 : x
  2. Step 2: Convert to fraction form
    514,346.39/771,238.34 = 408,410.84/x
  3. Step 3: Cross multiply
    514,346.39x = 771,238.34 × 408,410.84
  4. Step 4: Simplify right side
    514,346.39x = 314,982,098,279.61
  5. Step 5: Solve for x
    x = 314,982,098,279.61/514,346.39
  6. Step 6: Final answer
    x = 612,392.94

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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.