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Finding the Fourth Proportional to 407,717.82, 611,334.45 and 155,016.80

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Solution

The fourth proportional to 407,717.82, 611,334.45 and 155,016.80 is: 232,433.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,717.82 : 611,334.45 = 155,016.80 : x
  2. Step 2: Convert to fraction form
    407,717.82/611,334.45 = 155,016.80/x
  3. Step 3: Cross multiply
    407,717.82x = 611,334.45 × 155,016.80
  4. Step 4: Simplify right side
    407,717.82x = 94,767,109,501.31
  5. Step 5: Solve for x
    x = 94,767,109,501.31/407,717.82
  6. Step 6: Final answer
    x = 232,433.08

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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.