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Finding the Fourth Proportional to 281,090.61, 420,960.26 and 160,782.80

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Solution

The fourth proportional to 281,090.61, 420,960.26 and 160,782.80 is: 240,787.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,090.61 : 420,960.26 = 160,782.80 : x
  2. Step 2: Convert to fraction form
    281,090.61/420,960.26 = 160,782.80/x
  3. Step 3: Cross multiply
    281,090.61x = 420,960.26 × 160,782.80
  4. Step 4: Simplify right side
    281,090.61x = 67,683,166,382.81
  5. Step 5: Solve for x
    x = 67,683,166,382.81/281,090.61
  6. Step 6: Final answer
    x = 240,787.72

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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.