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Finding the Fourth Proportional to 565,734.10, 780,713.07 and 311,085.29

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Solution

The fourth proportional to 565,734.10, 780,713.07 and 311,085.29 is: 429,297.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,734.10 : 780,713.07 = 311,085.29 : x
  2. Step 2: Convert to fraction form
    565,734.10/780,713.07 = 311,085.29/x
  3. Step 3: Cross multiply
    565,734.10x = 780,713.07 × 311,085.29
  4. Step 4: Simplify right side
    565,734.10x = 242,868,351,787.74
  5. Step 5: Solve for x
    x = 242,868,351,787.74/565,734.10
  6. Step 6: Final answer
    x = 429,297.71

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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.