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Finding the Fourth Proportional to 287,464.32, 431,187.20 and 77,091.20

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Solution

The fourth proportional to 287,464.32, 431,187.20 and 77,091.20 is: 115,634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,464.32 : 431,187.20 = 77,091.20 : x
  2. Step 2: Convert to fraction form
    287,464.32/431,187.20 = 77,091.20/x
  3. Step 3: Cross multiply
    287,464.32x = 431,187.20 × 77,091.20
  4. Step 4: Simplify right side
    287,464.32x = 33,240,738,672.64
  5. Step 5: Solve for x
    x = 33,240,738,672.64/287,464.32
  6. Step 6: Final answer
    x = 115,634.31

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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.