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Finding the Fourth Proportional to 385,709.70, 578,656.91 and 160,945.09

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Solution

The fourth proportional to 385,709.70, 578,656.91 and 160,945.09 is: 241,456.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,709.70 : 578,656.91 = 160,945.09 : x
  2. Step 2: Convert to fraction form
    385,709.70/578,656.91 = 160,945.09/x
  3. Step 3: Cross multiply
    385,709.70x = 578,656.91 × 160,945.09
  4. Step 4: Simplify right side
    385,709.70x = 93,131,990,669.74
  5. Step 5: Solve for x
    x = 93,131,990,669.74/385,709.70
  6. Step 6: Final answer
    x = 241,456.18

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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.