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Finding the Fourth Proportional to 512,715.79, 769,075.58 and 157,727.35

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Solution

The fourth proportional to 512,715.79, 769,075.58 and 157,727.35 is: 236,591.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,715.79 : 769,075.58 = 157,727.35 : x
  2. Step 2: Convert to fraction form
    512,715.79/769,075.58 = 157,727.35/x
  3. Step 3: Cross multiply
    512,715.79x = 769,075.58 × 157,727.35
  4. Step 4: Simplify right side
    512,715.79x = 121,304,253,183.11
  5. Step 5: Solve for x
    x = 121,304,253,183.11/512,715.79
  6. Step 6: Final answer
    x = 236,591.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.