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Finding the Fourth Proportional to 278,260.64, 416,831.21 and 210,907.86

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Solution

The fourth proportional to 278,260.64, 416,831.21 and 210,907.86 is: 315,937.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,260.64 : 416,831.21 = 210,907.86 : x
  2. Step 2: Convert to fraction form
    278,260.64/416,831.21 = 210,907.86/x
  3. Step 3: Cross multiply
    278,260.64x = 416,831.21 × 210,907.86
  4. Step 4: Simplify right side
    278,260.64x = 87,912,977,427.77
  5. Step 5: Solve for x
    x = 87,912,977,427.77/278,260.64
  6. Step 6: Final answer
    x = 315,937.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.