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Finding the Fourth Proportional to 410,406.60, 615,998.70 and 252,942.60

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Solution

The fourth proportional to 410,406.60, 615,998.70 and 252,942.60 is: 379,653.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,406.60 : 615,998.70 = 252,942.60 : x
  2. Step 2: Convert to fraction form
    410,406.60/615,998.70 = 252,942.60/x
  3. Step 3: Cross multiply
    410,406.60x = 615,998.70 × 252,942.60
  4. Step 4: Simplify right side
    410,406.60x = 155,812,312,774.62
  5. Step 5: Solve for x
    x = 155,812,312,774.62/410,406.60
  6. Step 6: Final answer
    x = 379,653.53

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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.