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Finding the Fourth Proportional to 565,772.56, 780,771.72 and 311,125.52

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Solution

The fourth proportional to 565,772.56, 780,771.72 and 311,125.52 is: 429,356.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,772.56 : 780,771.72 = 311,125.52 : x
  2. Step 2: Convert to fraction form
    565,772.56/780,771.72 = 311,125.52/x
  3. Step 3: Cross multiply
    565,772.56x = 780,771.72 × 311,125.52
  4. Step 4: Simplify right side
    565,772.56x = 242,918,007,386.29
  5. Step 5: Solve for x
    x = 242,918,007,386.29/565,772.56
  6. Step 6: Final answer
    x = 429,356.29

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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.