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Finding the Fourth Proportional to 278,462.16, 384,278.16 and 151,137.77

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Solution

The fourth proportional to 278,462.16, 384,278.16 and 151,137.77 is: 208,570.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,462.16 : 384,278.16 = 151,137.77 : x
  2. Step 2: Convert to fraction form
    278,462.16/384,278.16 = 151,137.77/x
  3. Step 3: Cross multiply
    278,462.16x = 384,278.16 × 151,137.77
  4. Step 4: Simplify right side
    278,462.16x = 58,078,944,162.10
  5. Step 5: Solve for x
    x = 58,078,944,162.10/278,462.16
  6. Step 6: Final answer
    x = 208,570.33

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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.