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Finding the Fourth Proportional to 614,240.31, 921,491.67 and 214,894.11

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Solution

The fourth proportional to 614,240.31, 921,491.67 and 214,894.11 is: 322,387.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,240.31 : 921,491.67 = 214,894.11 : x
  2. Step 2: Convert to fraction form
    614,240.31/921,491.67 = 214,894.11/x
  3. Step 3: Cross multiply
    614,240.31x = 921,491.67 × 214,894.11
  4. Step 4: Simplify right side
    614,240.31x = 198,023,132,297.06
  5. Step 5: Solve for x
    x = 198,023,132,297.06/614,240.31
  6. Step 6: Final answer
    x = 322,387.07

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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.