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Finding the Fourth Proportional to 507,213.97, 699,946.71 and 280,854.61

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Solution

The fourth proportional to 507,213.97, 699,946.71 and 280,854.61 is: 387,574.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,213.97 : 699,946.71 = 280,854.61 : x
  2. Step 2: Convert to fraction form
    507,213.97/699,946.71 = 280,854.61/x
  3. Step 3: Cross multiply
    507,213.97x = 699,946.71 × 280,854.61
  4. Step 4: Simplify right side
    507,213.97x = 196,583,260,257.83
  5. Step 5: Solve for x
    x = 196,583,260,257.83/507,213.97
  6. Step 6: Final answer
    x = 387,574.62

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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.