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Finding the Fourth Proportional to 649,293.40, 973,940.10 and 410,144.95

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Solution

The fourth proportional to 649,293.40, 973,940.10 and 410,144.95 is: 615,217.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,293.40 : 973,940.10 = 410,144.95 : x
  2. Step 2: Convert to fraction form
    649,293.40/973,940.10 = 410,144.95/x
  3. Step 3: Cross multiply
    649,293.40x = 973,940.10 × 410,144.95
  4. Step 4: Simplify right side
    649,293.40x = 399,456,613,617.50
  5. Step 5: Solve for x
    x = 399,456,613,617.50/649,293.40
  6. Step 6: Final answer
    x = 615,217.43

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Double scale
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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.