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Finding the Fourth Proportional to 354,335.07, 531,809.69 and 185,974.32

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Solution

The fourth proportional to 354,335.07, 531,809.69 and 185,974.32 is: 279,122.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,335.07 : 531,809.69 = 185,974.32 : x
  2. Step 2: Convert to fraction form
    354,335.07/531,809.69 = 185,974.32/x
  3. Step 3: Cross multiply
    354,335.07x = 531,809.69 × 185,974.32
  4. Step 4: Simplify right side
    354,335.07x = 98,902,944,537.29
  5. Step 5: Solve for x
    x = 98,902,944,537.29/354,335.07
  6. Step 6: Final answer
    x = 279,122.65

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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.