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Finding the Fourth Proportional to 287,894.39, 431,656.77 and 119,530.92

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Solution

The fourth proportional to 287,894.39, 431,656.77 and 119,530.92 is: 179,219.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,894.39 : 431,656.77 = 119,530.92 : x
  2. Step 2: Convert to fraction form
    287,894.39/431,656.77 = 119,530.92/x
  3. Step 3: Cross multiply
    287,894.39x = 431,656.77 × 119,530.92
  4. Step 4: Simplify right side
    287,894.39x = 51,596,330,842.33
  5. Step 5: Solve for x
    x = 51,596,330,842.33/287,894.39
  6. Step 6: Final answer
    x = 179,219.65

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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.