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Finding the Fourth Proportional to 565,845.88, 780,869.48 and 311,213.08

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Solution

The fourth proportional to 565,845.88, 780,869.48 and 311,213.08 is: 429,475.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,845.88 : 780,869.48 = 311,213.08 : x
  2. Step 2: Convert to fraction form
    565,845.88/780,869.48 = 311,213.08/x
  3. Step 3: Cross multiply
    565,845.88x = 780,869.48 × 311,213.08
  4. Step 4: Simplify right side
    565,845.88x = 243,016,795,948.80
  5. Step 5: Solve for x
    x = 243,016,795,948.80/565,845.88
  6. Step 6: Final answer
    x = 429,475.24

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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.