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Finding the Fourth Proportional to 497,697.40, 746,546.10 and 123,720.40

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Solution

The fourth proportional to 497,697.40, 746,546.10 and 123,720.40 is: 185,580.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,697.40 : 746,546.10 = 123,720.40 : x
  2. Step 2: Convert to fraction form
    497,697.40/746,546.10 = 123,720.40/x
  3. Step 3: Cross multiply
    497,697.40x = 746,546.10 × 123,720.40
  4. Step 4: Simplify right side
    497,697.40x = 92,362,982,110.44
  5. Step 5: Solve for x
    x = 92,362,982,110.44/497,697.40
  6. Step 6: Final answer
    x = 185,580.60

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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.