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Finding the Fourth Proportional to 287,659.08, 431,488.25 and 77,297.02

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Solution

The fourth proportional to 287,659.08, 431,488.25 and 77,297.02 is: 115,945.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,659.08 : 431,488.25 = 77,297.02 : x
  2. Step 2: Convert to fraction form
    287,659.08/431,488.25 = 77,297.02/x
  3. Step 3: Cross multiply
    287,659.08x = 431,488.25 × 77,297.02
  4. Step 4: Simplify right side
    287,659.08x = 33,352,754,714.67
  5. Step 5: Solve for x
    x = 33,352,754,714.67/287,659.08
  6. Step 6: Final answer
    x = 115,945.43

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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.