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Finding the Fourth Proportional to 614,167.80, 921,065.76 and 214,734.12

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Solution

The fourth proportional to 614,167.80, 921,065.76 and 214,734.12 is: 322,036.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,167.80 : 921,065.76 = 214,734.12 : x
  2. Step 2: Convert to fraction form
    614,167.80/921,065.76 = 214,734.12/x
  3. Step 3: Cross multiply
    614,167.80x = 921,065.76 × 214,734.12
  4. Step 4: Simplify right side
    614,167.80x = 197,784,245,435.73
  5. Step 5: Solve for x
    x = 197,784,245,435.73/614,167.80
  6. Step 6: Final answer
    x = 322,036.17

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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.