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Finding the Fourth Proportional to 209,697.60, 314,200.80 and 174,446.40

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Solution

The fourth proportional to 209,697.60, 314,200.80 and 174,446.40 is: 261,382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,697.60 : 314,200.80 = 174,446.40 : x
  2. Step 2: Convert to fraction form
    209,697.60/314,200.80 = 174,446.40/x
  3. Step 3: Cross multiply
    209,697.60x = 314,200.80 × 174,446.40
  4. Step 4: Simplify right side
    209,697.60x = 54,811,198,437.12
  5. Step 5: Solve for x
    x = 54,811,198,437.12/209,697.60
  6. Step 6: Final answer
    x = 261,382.10

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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.