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Finding the Fourth Proportional to 380,663.82, 570,999.78 and 155,966.58

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Solution

The fourth proportional to 380,663.82, 570,999.78 and 155,966.58 is: 233,951.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,663.82 : 570,999.78 = 155,966.58 : x
  2. Step 2: Convert to fraction form
    380,663.82/570,999.78 = 155,966.58/x
  3. Step 3: Cross multiply
    380,663.82x = 570,999.78 × 155,966.58
  4. Step 4: Simplify right side
    380,663.82x = 89,056,882,867.35
  5. Step 5: Solve for x
    x = 89,056,882,867.35/380,663.82
  6. Step 6: Final answer
    x = 233,951.53

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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.