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Finding the Fourth Proportional to 507,874.69, 700,851.89 and 278,424.13

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Solution

The fourth proportional to 507,874.69, 700,851.89 and 278,424.13 is: 384,216.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,874.69 : 700,851.89 = 278,424.13 : x
  2. Step 2: Convert to fraction form
    507,874.69/700,851.89 = 278,424.13/x
  3. Step 3: Cross multiply
    507,874.69x = 700,851.89 × 278,424.13
  4. Step 4: Simplify right side
    507,874.69x = 195,134,074,227.85
  5. Step 5: Solve for x
    x = 195,134,074,227.85/507,874.69
  6. Step 6: Final answer
    x = 384,216.97

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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.