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Finding the Fourth Proportional to 414,878.40, 620,762.40 and 274,910.40

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Solution

The fourth proportional to 414,878.40, 620,762.40 and 274,910.40 is: 411,335.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,878.40 : 620,762.40 = 274,910.40 : x
  2. Step 2: Convert to fraction form
    414,878.40/620,762.40 = 274,910.40/x
  3. Step 3: Cross multiply
    414,878.40x = 620,762.40 × 274,910.40
  4. Step 4: Simplify right side
    414,878.40x = 170,654,039,688.96
  5. Step 5: Solve for x
    x = 170,654,039,688.96/414,878.40
  6. Step 6: Final answer
    x = 411,335.08

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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.