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Finding the Fourth Proportional to 698,518.50, 963,956.79 and 396,712.50

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Solution

The fourth proportional to 698,518.50, 963,956.79 and 396,712.50 is: 547,463.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,518.50 : 963,956.79 = 396,712.50 : x
  2. Step 2: Convert to fraction form
    698,518.50/963,956.79 = 396,712.50/x
  3. Step 3: Cross multiply
    698,518.50x = 963,956.79 × 396,712.50
  4. Step 4: Simplify right side
    698,518.50x = 382,413,708,052.88
  5. Step 5: Solve for x
    x = 382,413,708,052.88/698,518.50
  6. Step 6: Final answer
    x = 547,463.97

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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.