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Finding the Fourth Proportional to 528,057.40, 792,863.70 and 409,862.20

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Solution

The fourth proportional to 528,057.40, 792,863.70 and 409,862.20 is: 615,396.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,057.40 : 792,863.70 = 409,862.20 : x
  2. Step 2: Convert to fraction form
    528,057.40/792,863.70 = 409,862.20/x
  3. Step 3: Cross multiply
    528,057.40x = 792,863.70 × 409,862.20
  4. Step 4: Simplify right side
    528,057.40x = 324,964,860,382.14
  5. Step 5: Solve for x
    x = 324,964,860,382.14/528,057.40
  6. Step 6: Final answer
    x = 615,396.85

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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.