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Finding the Fourth Proportional to 409,046.81, 613,612.11 and 156,539.69

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Solution

The fourth proportional to 409,046.81, 613,612.11 and 156,539.69 is: 234,825.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,046.81 : 613,612.11 = 156,539.69 : x
  2. Step 2: Convert to fraction form
    409,046.81/613,612.11 = 156,539.69/x
  3. Step 3: Cross multiply
    409,046.81x = 613,612.11 × 156,539.69
  4. Step 4: Simplify right side
    409,046.81x = 96,054,648,419.12
  5. Step 5: Solve for x
    x = 96,054,648,419.12/409,046.81
  6. Step 6: Final answer
    x = 234,825.57

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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.