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Finding the Fourth Proportional to 587,382.58, 810,568.85 and 345,678.38

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Solution

The fourth proportional to 587,382.58, 810,568.85 and 345,678.38 is: 477,024.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,382.58 : 810,568.85 = 345,678.38 : x
  2. Step 2: Convert to fraction form
    587,382.58/810,568.85 = 345,678.38/x
  3. Step 3: Cross multiply
    587,382.58x = 810,568.85 × 345,678.38
  4. Step 4: Simplify right side
    587,382.58x = 280,196,121,165.23
  5. Step 5: Solve for x
    x = 280,196,121,165.23/587,382.58
  6. Step 6: Final answer
    x = 477,024.91

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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.