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Finding the Fourth Proportional to 380,736.81, 570,980.65 and 178,270.24

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Solution

The fourth proportional to 380,736.81, 570,980.65 and 178,270.24 is: 267,347.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,736.81 : 570,980.65 = 178,270.24 : x
  2. Step 2: Convert to fraction form
    380,736.81/570,980.65 = 178,270.24/x
  3. Step 3: Cross multiply
    380,736.81x = 570,980.65 × 178,270.24
  4. Step 4: Simplify right side
    380,736.81x = 101,788,857,510.86
  5. Step 5: Solve for x
    x = 101,788,857,510.86/380,736.81
  6. Step 6: Final answer
    x = 267,347.04

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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.