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Finding the Fourth Proportional to 614,354.09, 921,946.32 and 214,998.30

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Solution

The fourth proportional to 614,354.09, 921,946.32 and 214,998.30 is: 322,642.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,354.09 : 921,946.32 = 214,998.30 : x
  2. Step 2: Convert to fraction form
    614,354.09/921,946.32 = 214,998.30/x
  3. Step 3: Cross multiply
    614,354.09x = 921,946.32 × 214,998.30
  4. Step 4: Simplify right side
    614,354.09x = 198,216,891,491.26
  5. Step 5: Solve for x
    x = 198,216,891,491.26/614,354.09
  6. Step 6: Final answer
    x = 322,642.75

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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.