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Finding the Fourth Proportional to 659,463.54, 989,193.78 and 433,187.48

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Solution

The fourth proportional to 659,463.54, 989,193.78 and 433,187.48 is: 649,780.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,463.54 : 989,193.78 = 433,187.48 : x
  2. Step 2: Convert to fraction form
    659,463.54/989,193.78 = 433,187.48/x
  3. Step 3: Cross multiply
    659,463.54x = 989,193.78 × 433,187.48
  4. Step 4: Simplify right side
    659,463.54x = 428,506,355,843.91
  5. Step 5: Solve for x
    x = 428,506,355,843.91/659,463.54
  6. Step 6: Final answer
    x = 649,780.21

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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.