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Finding the Fourth Proportional to 565,621.56, 780,560.69 and 310,989.15

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Solution

The fourth proportional to 565,621.56, 780,560.69 and 310,989.15 is: 429,166.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,621.56 : 780,560.69 = 310,989.15 : x
  2. Step 2: Convert to fraction form
    565,621.56/780,560.69 = 310,989.15/x
  3. Step 3: Cross multiply
    565,621.56x = 780,560.69 × 310,989.15
  4. Step 4: Simplify right side
    565,621.56x = 242,745,903,951.57
  5. Step 5: Solve for x
    x = 242,745,903,951.57/565,621.56
  6. Step 6: Final answer
    x = 429,166.64

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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.