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Finding the Fourth Proportional to 614,169.80, 921,068.76 and 214,736.12

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Solution

The fourth proportional to 614,169.80, 921,068.76 and 214,736.12 is: 322,039.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,169.80 : 921,068.76 = 214,736.12 : x
  2. Step 2: Convert to fraction form
    614,169.80/921,068.76 = 214,736.12/x
  3. Step 3: Cross multiply
    614,169.80x = 921,068.76 × 214,736.12
  4. Step 4: Simplify right side
    614,169.80x = 197,786,731,775.61
  5. Step 5: Solve for x
    x = 197,786,731,775.61/614,169.80
  6. Step 6: Final answer
    x = 322,039.17

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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.