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Finding the Fourth Proportional to 278,458.90, 417,688.35 and 200,310.10

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Solution

The fourth proportional to 278,458.90, 417,688.35 and 200,310.10 is: 300,465.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,458.90 : 417,688.35 = 200,310.10 : x
  2. Step 2: Convert to fraction form
    278,458.90/417,688.35 = 200,310.10/x
  3. Step 3: Cross multiply
    278,458.90x = 417,688.35 × 200,310.10
  4. Step 4: Simplify right side
    278,458.90x = 83,667,195,157.34
  5. Step 5: Solve for x
    x = 83,667,195,157.34/278,458.90
  6. Step 6: Final answer
    x = 300,465.15

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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.