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Finding the Fourth Proportional to 507,856.44, 700,839.90 and 278,415

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Solution

The fourth proportional to 507,856.44, 700,839.90 and 278,415 is: 384,211.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,856.44 : 700,839.90 = 278,415 : x
  2. Step 2: Convert to fraction form
    507,856.44/700,839.90 = 278,415/x
  3. Step 3: Cross multiply
    507,856.44x = 700,839.90 × 278,415
  4. Step 4: Simplify right side
    507,856.44x = 195,124,340,758.50
  5. Step 5: Solve for x
    x = 195,124,340,758.50/507,856.44
  6. Step 6: Final answer
    x = 384,211.61

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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.