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Finding the Fourth Proportional to 265,078.96, 397,867.55 and 138,809.82

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Solution

The fourth proportional to 265,078.96, 397,867.55 and 138,809.82 is: 208,345.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,078.96 : 397,867.55 = 138,809.82 : x
  2. Step 2: Convert to fraction form
    265,078.96/397,867.55 = 138,809.82/x
  3. Step 3: Cross multiply
    265,078.96x = 397,867.55 × 138,809.82
  4. Step 4: Simplify right side
    265,078.96x = 55,227,922,999.34
  5. Step 5: Solve for x
    x = 55,227,922,999.34/265,078.96
  6. Step 6: Final answer
    x = 208,345.18

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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.