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Finding the Fourth Proportional to 314,454.64, 433,879.86 and 187,105.36

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Solution

The fourth proportional to 314,454.64, 433,879.86 and 187,105.36 is: 258,165.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,454.64 : 433,879.86 = 187,105.36 : x
  2. Step 2: Convert to fraction form
    314,454.64/433,879.86 = 187,105.36/x
  3. Step 3: Cross multiply
    314,454.64x = 433,879.86 × 187,105.36
  4. Step 4: Simplify right side
    314,454.64x = 81,181,247,402.05
  5. Step 5: Solve for x
    x = 81,181,247,402.05/314,454.64
  6. Step 6: Final answer
    x = 258,165.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.