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Finding the Fourth Proportional to 460,533.78, 690,744.09 and 123,600.90

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Solution

The fourth proportional to 460,533.78, 690,744.09 and 123,600.90 is: 185,386.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,533.78 : 690,744.09 = 123,600.90 : x
  2. Step 2: Convert to fraction form
    460,533.78/690,744.09 = 123,600.90/x
  3. Step 3: Cross multiply
    460,533.78x = 690,744.09 × 123,600.90
  4. Step 4: Simplify right side
    460,533.78x = 85,376,591,193.68
  5. Step 5: Solve for x
    x = 85,376,591,193.68/460,533.78
  6. Step 6: Final answer
    x = 185,386.16

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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.