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Finding the Fourth Proportional to 385,908.93, 578,855.03 and 133,180.92

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Solution

The fourth proportional to 385,908.93, 578,855.03 and 133,180.92 is: 199,768.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,908.93 : 578,855.03 = 133,180.92 : x
  2. Step 2: Convert to fraction form
    385,908.93/578,855.03 = 133,180.92/x
  3. Step 3: Cross multiply
    385,908.93x = 578,855.03 × 133,180.92
  4. Step 4: Simplify right side
    385,908.93x = 77,092,444,776.12
  5. Step 5: Solve for x
    x = 77,092,444,776.12/385,908.93
  6. Step 6: Final answer
    x = 199,768.49

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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.