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Finding the Fourth Proportional to 278,360.40, 384,138.42 and 151,035.90

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Solution

The fourth proportional to 278,360.40, 384,138.42 and 151,035.90 is: 208,430.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,360.40 : 384,138.42 = 151,035.90 : x
  2. Step 2: Convert to fraction form
    278,360.40/384,138.42 = 151,035.90/x
  3. Step 3: Cross multiply
    278,360.40x = 384,138.42 × 151,035.90
  4. Step 4: Simplify right side
    278,360.40x = 58,018,691,989.28
  5. Step 5: Solve for x
    x = 58,018,691,989.28/278,360.40
  6. Step 6: Final answer
    x = 208,430.12

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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.