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Finding the Fourth Proportional to 177,640.40, 266,606.40 and 171,808.40

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Solution

The fourth proportional to 177,640.40, 266,606.40 and 171,808.40 is: 257,853.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,640.40 : 266,606.40 = 171,808.40 : x
  2. Step 2: Convert to fraction form
    177,640.40/266,606.40 = 171,808.40/x
  3. Step 3: Cross multiply
    177,640.40x = 266,606.40 × 171,808.40
  4. Step 4: Simplify right side
    177,640.40x = 45,805,219,013.76
  5. Step 5: Solve for x
    x = 45,805,219,013.76/177,640.40
  6. Step 6: Final answer
    x = 257,853.61

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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.