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Finding the Fourth Proportional to 385,872.96, 578,874.54 and 133,085.83

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Solution

The fourth proportional to 385,872.96, 578,874.54 and 133,085.83 is: 199,651.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,872.96 : 578,874.54 = 133,085.83 : x
  2. Step 2: Convert to fraction form
    385,872.96/578,874.54 = 133,085.83/x
  3. Step 3: Cross multiply
    385,872.96x = 578,874.54 × 133,085.83
  4. Step 4: Simplify right side
    385,872.96x = 77,039,998,621.77
  5. Step 5: Solve for x
    x = 77,039,998,621.77/385,872.96
  6. Step 6: Final answer
    x = 199,651.20

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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.