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Finding the Fourth Proportional to 471,680.46, 650,817.72 and 280,656.54

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Solution

The fourth proportional to 471,680.46, 650,817.72 and 280,656.54 is: 387,245.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,680.46 : 650,817.72 = 280,656.54 : x
  2. Step 2: Convert to fraction form
    471,680.46/650,817.72 = 280,656.54/x
  3. Step 3: Cross multiply
    471,680.46x = 650,817.72 × 280,656.54
  4. Step 4: Simplify right side
    471,680.46x = 182,656,249,465.89
  5. Step 5: Solve for x
    x = 182,656,249,465.89/471,680.46
  6. Step 6: Final answer
    x = 387,245.74

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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.