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Finding the Fourth Proportional to 309,792.40, 464,087.40 and 181,398.40

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Solution

The fourth proportional to 309,792.40, 464,087.40 and 181,398.40 is: 271,745.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,792.40 : 464,087.40 = 181,398.40 : x
  2. Step 2: Convert to fraction form
    309,792.40/464,087.40 = 181,398.40/x
  3. Step 3: Cross multiply
    309,792.40x = 464,087.40 × 181,398.40
  4. Step 4: Simplify right side
    309,792.40x = 84,184,711,820.16
  5. Step 5: Solve for x
    x = 84,184,711,820.16/309,792.40
  6. Step 6: Final answer
    x = 271,745.57

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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.