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Finding the Fourth Proportional to 294,897.81, 442,234.31 and 105,322.78

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Solution

The fourth proportional to 294,897.81, 442,234.31 and 105,322.78 is: 157,944.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,897.81 : 442,234.31 = 105,322.78 : x
  2. Step 2: Convert to fraction form
    294,897.81/442,234.31 = 105,322.78/x
  3. Step 3: Cross multiply
    294,897.81x = 442,234.31 × 105,322.78
  4. Step 4: Simplify right side
    294,897.81x = 46,577,346,940.58
  5. Step 5: Solve for x
    x = 46,577,346,940.58/294,897.81
  6. Step 6: Final answer
    x = 157,944.02

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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.