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Finding the Fourth Proportional to 468,280.72, 645,964.32 and 296,145.60

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Solution

The fourth proportional to 468,280.72, 645,964.32 and 296,145.60 is: 408,514.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,280.72 : 645,964.32 = 296,145.60 : x
  2. Step 2: Convert to fraction form
    468,280.72/645,964.32 = 296,145.60/x
  3. Step 3: Cross multiply
    468,280.72x = 645,964.32 × 296,145.60
  4. Step 4: Simplify right side
    468,280.72x = 191,299,491,124.99
  5. Step 5: Solve for x
    x = 191,299,491,124.99/468,280.72
  6. Step 6: Final answer
    x = 408,514.56

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1.5x scale

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.