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Finding the Fourth Proportional to 281,088.72, 420,957.44 and 160,780.94

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Solution

The fourth proportional to 281,088.72, 420,957.44 and 160,780.94 is: 240,784.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,088.72 : 420,957.44 = 160,780.94 : x
  2. Step 2: Convert to fraction form
    281,088.72/420,957.44 = 160,780.94/x
  3. Step 3: Cross multiply
    281,088.72x = 420,957.44 × 160,780.94
  4. Step 4: Simplify right side
    281,088.72x = 67,681,932,903.19
  5. Step 5: Solve for x
    x = 67,681,932,903.19/281,088.72
  6. Step 6: Final answer
    x = 240,784.95

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1.5x scale

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.