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Finding the Fourth Proportional to 565,805.16, 780,795.56 and 311,156.36

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Solution

The fourth proportional to 565,805.16, 780,795.56 and 311,156.36 is: 429,387.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,805.16 : 780,795.56 = 311,156.36 : x
  2. Step 2: Convert to fraction form
    565,805.16/780,795.56 = 311,156.36/x
  3. Step 3: Cross multiply
    565,805.16x = 780,795.56 × 311,156.36
  4. Step 4: Simplify right side
    565,805.16x = 242,949,504,353.76
  5. Step 5: Solve for x
    x = 242,949,504,353.76/565,805.16
  6. Step 6: Final answer
    x = 429,387.22

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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.