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Finding the Fourth Proportional to 291,014.10, 436,238.19 and 139,171.86

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Solution

The fourth proportional to 291,014.10, 436,238.19 and 139,171.86 is: 208,622.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,014.10 : 436,238.19 = 139,171.86 : x
  2. Step 2: Convert to fraction form
    291,014.10/436,238.19 = 139,171.86/x
  3. Step 3: Cross multiply
    291,014.10x = 436,238.19 × 139,171.86
  4. Step 4: Simplify right side
    291,014.10x = 60,712,080,305.33
  5. Step 5: Solve for x
    x = 60,712,080,305.33/291,014.10
  6. Step 6: Final answer
    x = 208,622.47

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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.