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Finding the Fourth Proportional to 568,034.52, 783,860.22 and 309,896.16

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Solution

The fourth proportional to 568,034.52, 783,860.22 and 309,896.16 is: 427,641.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,034.52 : 783,860.22 = 309,896.16 : x
  2. Step 2: Convert to fraction form
    568,034.52/783,860.22 = 309,896.16/x
  3. Step 3: Cross multiply
    568,034.52x = 783,860.22 × 309,896.16
  4. Step 4: Simplify right side
    568,034.52x = 242,915,272,154.76
  5. Step 5: Solve for x
    x = 242,915,272,154.76/568,034.52
  6. Step 6: Final answer
    x = 427,641.74

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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.