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Finding the Fourth Proportional to 410,136.40, 615,204.60 and 385,204.60

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Solution

The fourth proportional to 410,136.40, 615,204.60 and 385,204.60 is: 577,806.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,136.40 : 615,204.60 = 385,204.60 : x
  2. Step 2: Convert to fraction form
    410,136.40/615,204.60 = 385,204.60/x
  3. Step 3: Cross multiply
    410,136.40x = 615,204.60 × 385,204.60
  4. Step 4: Simplify right side
    410,136.40x = 236,979,641,861.16
  5. Step 5: Solve for x
    x = 236,979,641,861.16/410,136.40
  6. Step 6: Final answer
    x = 577,806.90

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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.