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Finding the Fourth Proportional to 278,697.60, 417,803.40 and 189,662.40

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Solution

The fourth proportional to 278,697.60, 417,803.40 and 189,662.40 is: 284,328.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,697.60 : 417,803.40 = 189,662.40 : x
  2. Step 2: Convert to fraction form
    278,697.60/417,803.40 = 189,662.40/x
  3. Step 3: Cross multiply
    278,697.60x = 417,803.40 × 189,662.40
  4. Step 4: Simplify right side
    278,697.60x = 79,241,595,572.16
  5. Step 5: Solve for x
    x = 79,241,595,572.16/278,697.60
  6. Step 6: Final answer
    x = 284,328.23

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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.