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Finding the Fourth Proportional to 565,517.31, 780,416.42 and 310,884.90

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Solution

The fourth proportional to 565,517.31, 780,416.42 and 310,884.90 is: 429,022.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,517.31 : 780,416.42 = 310,884.90 : x
  2. Step 2: Convert to fraction form
    565,517.31/780,416.42 = 310,884.90/x
  3. Step 3: Cross multiply
    565,517.31x = 780,416.42 × 310,884.90
  4. Step 4: Simplify right side
    565,517.31x = 242,619,679,135.63
  5. Step 5: Solve for x
    x = 242,619,679,135.63/565,517.31
  6. Step 6: Final answer
    x = 429,022.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.