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Finding the Fourth Proportional to 278,027.34, 416,791.32 and 135,792.15

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Solution

The fourth proportional to 278,027.34, 416,791.32 and 135,792.15 is: 203,566.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,027.34 : 416,791.32 = 135,792.15 : x
  2. Step 2: Convert to fraction form
    278,027.34/416,791.32 = 135,792.15/x
  3. Step 3: Cross multiply
    278,027.34x = 416,791.32 × 135,792.15
  4. Step 4: Simplify right side
    278,027.34x = 56,596,989,444.14
  5. Step 5: Solve for x
    x = 56,596,989,444.14/278,027.34
  6. Step 6: Final answer
    x = 203,566.27

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1.5x scale

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.