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Finding the Fourth Proportional to 565,911.25, 780,972.29 and 311,269.12

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Solution

The fourth proportional to 565,911.25, 780,972.29 and 311,269.12 is: 429,559.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,911.25 : 780,972.29 = 311,269.12 : x
  2. Step 2: Convert to fraction form
    565,911.25/780,972.29 = 311,269.12/x
  3. Step 3: Cross multiply
    565,911.25x = 780,972.29 × 311,269.12
  4. Step 4: Simplify right side
    565,911.25x = 243,092,554,326.00
  5. Step 5: Solve for x
    x = 243,092,554,326.00/565,911.25
  6. Step 6: Final answer
    x = 429,559.51

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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.