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Finding the Fourth Proportional to 305,613.60, 458,420.40 and 278,057.40

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Solution

The fourth proportional to 305,613.60, 458,420.40 and 278,057.40 is: 417,086.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,613.60 : 458,420.40 = 278,057.40 : x
  2. Step 2: Convert to fraction form
    305,613.60/458,420.40 = 278,057.40/x
  3. Step 3: Cross multiply
    305,613.60x = 458,420.40 × 278,057.40
  4. Step 4: Simplify right side
    305,613.60x = 127,467,184,530.96
  5. Step 5: Solve for x
    x = 127,467,184,530.96/305,613.60
  6. Step 6: Final answer
    x = 417,086.10

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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.