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Finding the Fourth Proportional to 385,857.80, 578,786.94 and 161,095.72

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Solution

The fourth proportional to 385,857.80, 578,786.94 and 161,095.72 is: 241,643.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,857.80 : 578,786.94 = 161,095.72 : x
  2. Step 2: Convert to fraction form
    385,857.80/578,786.94 = 161,095.72/x
  3. Step 3: Cross multiply
    385,857.80x = 578,786.94 × 161,095.72
  4. Step 4: Simplify right side
    385,857.80x = 93,240,098,825.90
  5. Step 5: Solve for x
    x = 93,240,098,825.90/385,857.80
  6. Step 6: Final answer
    x = 241,643.68

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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.