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Finding the Fourth Proportional to 294,743.60, 442,633.80 and 285,412.40

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Solution

The fourth proportional to 294,743.60, 442,633.80 and 285,412.40 is: 428,620.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,743.60 : 442,633.80 = 285,412.40 : x
  2. Step 2: Convert to fraction form
    294,743.60/442,633.80 = 285,412.40/x
  3. Step 3: Cross multiply
    294,743.60x = 442,633.80 × 285,412.40
  4. Step 4: Simplify right side
    294,743.60x = 126,333,175,179.12
  5. Step 5: Solve for x
    x = 126,333,175,179.12/294,743.60
  6. Step 6: Final answer
    x = 428,620.59

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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.