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Finding the Fourth Proportional to 294,781.58, 442,265.84 and 105,237.88

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Solution

The fourth proportional to 294,781.58, 442,265.84 and 105,237.88 is: 157,890.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,781.58 : 442,265.84 = 105,237.88 : x
  2. Step 2: Convert to fraction form
    294,781.58/442,265.84 = 105,237.88/x
  3. Step 3: Cross multiply
    294,781.58x = 442,265.84 × 105,237.88
  4. Step 4: Simplify right side
    294,781.58x = 46,543,119,398.02
  5. Step 5: Solve for x
    x = 46,543,119,398.02/294,781.58
  6. Step 6: Final answer
    x = 157,890.19

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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.