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Finding the Fourth Proportional to 278,705.60, 417,815.40 and 189,670.40

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Solution

The fourth proportional to 278,705.60, 417,815.40 and 189,670.40 is: 284,340.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,705.60 : 417,815.40 = 189,670.40 : x
  2. Step 2: Convert to fraction form
    278,705.60/417,815.40 = 189,670.40/x
  3. Step 3: Cross multiply
    278,705.60x = 417,815.40 × 189,670.40
  4. Step 4: Simplify right side
    278,705.60x = 79,247,214,044.16
  5. Step 5: Solve for x
    x = 79,247,214,044.16/278,705.60
  6. Step 6: Final answer
    x = 284,340.23

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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.