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Finding the Fourth Proportional to 280,315.81, 420,473.71 and 160,288.56

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Solution

The fourth proportional to 280,315.81, 420,473.71 and 160,288.56 is: 240,432.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,315.81 : 420,473.71 = 160,288.56 : x
  2. Step 2: Convert to fraction form
    280,315.81/420,473.71 = 160,288.56/x
  3. Step 3: Cross multiply
    280,315.81x = 420,473.71 × 160,288.56
  4. Step 4: Simplify right side
    280,315.81x = 67,397,125,093.04
  5. Step 5: Solve for x
    x = 67,397,125,093.04/280,315.81
  6. Step 6: Final answer
    x = 240,432.84

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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.