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Finding the Fourth Proportional to 520,046.40, 780,069.60 and 204,398.40

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Solution

The fourth proportional to 520,046.40, 780,069.60 and 204,398.40 is: 306,597.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,046.40 : 780,069.60 = 204,398.40 : x
  2. Step 2: Convert to fraction form
    520,046.40/780,069.60 = 204,398.40/x
  3. Step 3: Cross multiply
    520,046.40x = 780,069.60 × 204,398.40
  4. Step 4: Simplify right side
    520,046.40x = 159,444,978,128.64
  5. Step 5: Solve for x
    x = 159,444,978,128.64/520,046.40
  6. Step 6: Final answer
    x = 306,597.60

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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.