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Finding the Fourth Proportional to 614,237.80, 921,487.94 and 214,891.60

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Solution

The fourth proportional to 614,237.80, 921,487.94 and 214,891.60 is: 322,383.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,237.80 : 921,487.94 = 214,891.60 : x
  2. Step 2: Convert to fraction form
    614,237.80/921,487.94 = 214,891.60/x
  3. Step 3: Cross multiply
    614,237.80x = 921,487.94 × 214,891.60
  4. Step 4: Simplify right side
    614,237.80x = 198,020,017,807.30
  5. Step 5: Solve for x
    x = 198,020,017,807.30/614,237.80
  6. Step 6: Final answer
    x = 322,383.31

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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.