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Finding the Fourth Proportional to 393,167.92, 589,747 and 277,285.20

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Solution

The fourth proportional to 393,167.92, 589,747 and 277,285.20 is: 415,924.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,167.92 : 589,747 = 277,285.20 : x
  2. Step 2: Convert to fraction form
    393,167.92/589,747 = 277,285.20/x
  3. Step 3: Cross multiply
    393,167.92x = 589,747 × 277,285.20
  4. Step 4: Simplify right side
    393,167.92x = 163,528,114,844.40
  5. Step 5: Solve for x
    x = 163,528,114,844.40/393,167.92
  6. Step 6: Final answer
    x = 415,924.36

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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.