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Finding the Fourth Proportional to 410,187.60, 615,281.40 and 327,243.60

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Solution

The fourth proportional to 410,187.60, 615,281.40 and 327,243.60 is: 490,865.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,187.60 : 615,281.40 = 327,243.60 : x
  2. Step 2: Convert to fraction form
    410,187.60/615,281.40 = 327,243.60/x
  3. Step 3: Cross multiply
    410,187.60x = 615,281.40 × 327,243.60
  4. Step 4: Simplify right side
    410,187.60x = 201,346,900,349.04
  5. Step 5: Solve for x
    x = 201,346,900,349.04/410,187.60
  6. Step 6: Final answer
    x = 490,865.40

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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.