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Finding the Fourth Proportional to 281,085.71, 420,952.95 and 160,777.94

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Solution

The fourth proportional to 281,085.71, 420,952.95 and 160,777.94 is: 240,780.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,085.71 : 420,952.95 = 160,777.94 : x
  2. Step 2: Convert to fraction form
    281,085.71/420,952.95 = 160,777.94/x
  3. Step 3: Cross multiply
    281,085.71x = 420,952.95 × 160,777.94
  4. Step 4: Simplify right side
    281,085.71x = 67,679,946,033.16
  5. Step 5: Solve for x
    x = 67,679,946,033.16/281,085.71
  6. Step 6: Final answer
    x = 240,780.46

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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.