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Finding the Fourth Proportional to 278,116.16, 383,797.94 and 157,281.16

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Solution

The fourth proportional to 278,116.16, 383,797.94 and 157,281.16 is: 217,046.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,116.16 : 383,797.94 = 157,281.16 : x
  2. Step 2: Convert to fraction form
    278,116.16/383,797.94 = 157,281.16/x
  3. Step 3: Cross multiply
    278,116.16x = 383,797.94 × 157,281.16
  4. Step 4: Simplify right side
    278,116.16x = 60,364,185,208.81
  5. Step 5: Solve for x
    x = 60,364,185,208.81/278,116.16
  6. Step 6: Final answer
    x = 217,046.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.