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Finding the Fourth Proportional to 526,282.30, 788,257.05 and 407,568.70

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Solution

The fourth proportional to 526,282.30, 788,257.05 and 407,568.70 is: 610,449.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,282.30 : 788,257.05 = 407,568.70 : x
  2. Step 2: Convert to fraction form
    526,282.30/788,257.05 = 407,568.70/x
  3. Step 3: Cross multiply
    526,282.30x = 788,257.05 × 407,568.70
  4. Step 4: Simplify right side
    526,282.30x = 321,268,901,134.34
  5. Step 5: Solve for x
    x = 321,268,901,134.34/526,282.30
  6. Step 6: Final answer
    x = 610,449.76

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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.