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Finding the Fourth Proportional to 650,436.53, 975,654.78 and 428,768.69

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Solution

The fourth proportional to 650,436.53, 975,654.78 and 428,768.69 is: 643,153.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,436.53 : 975,654.78 = 428,768.69 : x
  2. Step 2: Convert to fraction form
    650,436.53/975,654.78 = 428,768.69/x
  3. Step 3: Cross multiply
    650,436.53x = 975,654.78 × 428,768.69
  4. Step 4: Simplify right side
    650,436.53x = 418,330,219,769.00
  5. Step 5: Solve for x
    x = 418,330,219,769.00/650,436.53
  6. Step 6: Final answer
    x = 643,153.02

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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.