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Finding the Fourth Proportional to 432,856.10, 649,284.15 and 327,880.10

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Solution

The fourth proportional to 432,856.10, 649,284.15 and 327,880.10 is: 491,820.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,856.10 : 649,284.15 = 327,880.10 : x
  2. Step 2: Convert to fraction form
    432,856.10/649,284.15 = 327,880.10/x
  3. Step 3: Cross multiply
    432,856.10x = 649,284.15 × 327,880.10
  4. Step 4: Simplify right side
    432,856.10x = 212,887,352,030.42
  5. Step 5: Solve for x
    x = 212,887,352,030.42/432,856.10
  6. Step 6: Final answer
    x = 491,820.15

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Similar ratio
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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.