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Finding the Fourth Proportional to 496,980.40, 746,248.20 and 378,785.20

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Solution

The fourth proportional to 496,980.40, 746,248.20 and 378,785.20 is: 568,770.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,980.40 : 746,248.20 = 378,785.20 : x
  2. Step 2: Convert to fraction form
    496,980.40/746,248.20 = 378,785.20/x
  3. Step 3: Cross multiply
    496,980.40x = 746,248.20 × 378,785.20
  4. Step 4: Simplify right side
    496,980.40x = 282,667,773,686.64
  5. Step 5: Solve for x
    x = 282,667,773,686.64/496,980.40
  6. Step 6: Final answer
    x = 568,770.47

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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.