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Finding the Fourth Proportional to 810,978.38, 1,216,467.56 and 305,652.77

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Solution

The fourth proportional to 810,978.38, 1,216,467.56 and 305,652.77 is: 458,479.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,978.38 : 1,216,467.56 = 305,652.77 : x
  2. Step 2: Convert to fraction form
    810,978.38/1,216,467.56 = 305,652.77/x
  3. Step 3: Cross multiply
    810,978.38x = 1,216,467.56 × 305,652.77
  4. Step 4: Simplify right side
    810,978.38x = 371,816,679,329.14
  5. Step 5: Solve for x
    x = 371,816,679,329.14/810,978.38
  6. Step 6: Final answer
    x = 458,479.15

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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.