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Finding the Fourth Proportional to 380,354.56, 570,365.44 and 180,732.16

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Solution

The fourth proportional to 380,354.56, 570,365.44 and 180,732.16 is: 271,019.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,354.56 : 570,365.44 = 180,732.16 : x
  2. Step 2: Convert to fraction form
    380,354.56/570,365.44 = 180,732.16/x
  3. Step 3: Cross multiply
    380,354.56x = 570,365.44 × 180,732.16
  4. Step 4: Simplify right side
    380,354.56x = 103,083,377,960.55
  5. Step 5: Solve for x
    x = 103,083,377,960.55/380,354.56
  6. Step 6: Final answer
    x = 271,019.17

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1.5x scale

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.