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Finding the Fourth Proportional to 409,054.59, 613,376.56 and 238,331.57

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Solution

The fourth proportional to 409,054.59, 613,376.56 and 238,331.57 is: 357,377.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,054.59 : 613,376.56 = 238,331.57 : x
  2. Step 2: Convert to fraction form
    409,054.59/613,376.56 = 238,331.57/x
  3. Step 3: Cross multiply
    409,054.59x = 613,376.56 × 238,331.57
  4. Step 4: Simplify right side
    409,054.59x = 146,186,994,883.29
  5. Step 5: Solve for x
    x = 146,186,994,883.29/409,054.59
  6. Step 6: Final answer
    x = 357,377.72

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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.