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Finding the Fourth Proportional to 699,137.92, 964,823.52 and 393,206.32

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Solution

The fourth proportional to 699,137.92, 964,823.52 and 393,206.32 is: 542,632.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,137.92 : 964,823.52 = 393,206.32 : x
  2. Step 2: Convert to fraction form
    699,137.92/964,823.52 = 393,206.32/x
  3. Step 3: Cross multiply
    699,137.92x = 964,823.52 × 393,206.32
  4. Step 4: Simplify right side
    699,137.92x = 379,374,705,748.65
  5. Step 5: Solve for x
    x = 379,374,705,748.65/699,137.92
  6. Step 6: Final answer
    x = 542,632.14

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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.