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Finding the Fourth Proportional to 354,971.73, 532,714.52 and 138,862.34

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Solution

The fourth proportional to 354,971.73, 532,714.52 and 138,862.34 is: 208,394.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,971.73 : 532,714.52 = 138,862.34 : x
  2. Step 2: Convert to fraction form
    354,971.73/532,714.52 = 138,862.34/x
  3. Step 3: Cross multiply
    354,971.73x = 532,714.52 × 138,862.34
  4. Step 4: Simplify right side
    354,971.73x = 73,973,981,441.29
  5. Step 5: Solve for x
    x = 73,973,981,441.29/354,971.73
  6. Step 6: Final answer
    x = 208,394.01

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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.