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Finding the Fourth Proportional to 294,893.80, 442,254.30 and 137,084.20

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Solution

The fourth proportional to 294,893.80, 442,254.30 and 137,084.20 is: 205,586.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,893.80 : 442,254.30 = 137,084.20 : x
  2. Step 2: Convert to fraction form
    294,893.80/442,254.30 = 137,084.20/x
  3. Step 3: Cross multiply
    294,893.80x = 442,254.30 × 137,084.20
  4. Step 4: Simplify right side
    294,893.80x = 60,626,076,912.06
  5. Step 5: Solve for x
    x = 60,626,076,912.06/294,893.80
  6. Step 6: Final answer
    x = 205,586.14

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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.