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Finding the Fourth Proportional to 380,379.10, 570,247.53 and 239,827.90

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Solution

The fourth proportional to 380,379.10, 570,247.53 and 239,827.90 is: 359,539.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,379.10 : 570,247.53 = 239,827.90 : x
  2. Step 2: Convert to fraction form
    380,379.10/570,247.53 = 239,827.90/x
  3. Step 3: Cross multiply
    380,379.10x = 570,247.53 × 239,827.90
  4. Step 4: Simplify right side
    380,379.10x = 136,761,267,600.09
  5. Step 5: Solve for x
    x = 136,761,267,600.09/380,379.10
  6. Step 6: Final answer
    x = 359,539.38

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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.