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Finding the Fourth Proportional to 565,732.69, 780,711.12 and 311,083.88

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Solution

The fourth proportional to 565,732.69, 780,711.12 and 311,083.88 is: 429,295.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,732.69 : 780,711.12 = 311,083.88 : x
  2. Step 2: Convert to fraction form
    565,732.69/780,711.12 = 311,083.88/x
  3. Step 3: Cross multiply
    565,732.69x = 780,711.12 × 311,083.88
  4. Step 4: Simplify right side
    565,732.69x = 242,866,644,368.75
  5. Step 5: Solve for x
    x = 242,866,644,368.75/565,732.69
  6. Step 6: Final answer
    x = 429,295.76

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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.