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Finding the Fourth Proportional to 507,854.44, 700,837.14 and 278,413

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Solution

The fourth proportional to 507,854.44, 700,837.14 and 278,413 is: 384,208.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,854.44 : 700,837.14 = 278,413 : x
  2. Step 2: Convert to fraction form
    507,854.44/700,837.14 = 278,413/x
  3. Step 3: Cross multiply
    507,854.44x = 700,837.14 × 278,413
  4. Step 4: Simplify right side
    507,854.44x = 195,122,170,658.82
  5. Step 5: Solve for x
    x = 195,122,170,658.82/507,854.44
  6. Step 6: Final answer
    x = 384,208.85

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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.