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Finding the Fourth Proportional to 565,888.48, 780,922.02 and 311,234.20

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Solution

The fourth proportional to 565,888.48, 780,922.02 and 311,234.20 is: 429,500.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,888.48 : 780,922.02 = 311,234.20 : x
  2. Step 2: Convert to fraction form
    565,888.48/780,922.02 = 311,234.20/x
  3. Step 3: Cross multiply
    565,888.48x = 780,922.02 × 311,234.20
  4. Step 4: Simplify right side
    565,888.48x = 243,049,640,157.08
  5. Step 5: Solve for x
    x = 243,049,640,157.08/565,888.48
  6. Step 6: Final answer
    x = 429,500.95

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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.