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Finding the Fourth Proportional to 614,312.89, 921,884.52 and 214,957.12

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Solution

The fourth proportional to 614,312.89, 921,884.52 and 214,957.12 is: 322,580.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,312.89 : 921,884.52 = 214,957.12 : x
  2. Step 2: Convert to fraction form
    614,312.89/921,884.52 = 214,957.12/x
  3. Step 3: Cross multiply
    614,312.89x = 921,884.52 × 214,957.12
  4. Step 4: Simplify right side
    614,312.89x = 198,165,640,412.56
  5. Step 5: Solve for x
    x = 198,165,640,412.56/614,312.89
  6. Step 6: Final answer
    x = 322,580.96

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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.