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Finding the Fourth Proportional to 380,108.69, 569,708.01 and 177,432.11

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Solution

The fourth proportional to 380,108.69, 569,708.01 and 177,432.11 is: 265,935.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,108.69 : 569,708.01 = 177,432.11 : x
  2. Step 2: Convert to fraction form
    380,108.69/569,708.01 = 177,432.11/x
  3. Step 3: Cross multiply
    380,108.69x = 569,708.01 × 177,432.11
  4. Step 4: Simplify right side
    380,108.69x = 101,084,494,298.20
  5. Step 5: Solve for x
    x = 101,084,494,298.20/380,108.69
  6. Step 6: Final answer
    x = 265,935.76

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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.