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Finding the Fourth Proportional to 294,863.34, 442,295.46 and 89,699.78

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Solution

The fourth proportional to 294,863.34, 442,295.46 and 89,699.78 is: 134,549.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,863.34 : 442,295.46 = 89,699.78 : x
  2. Step 2: Convert to fraction form
    294,863.34/442,295.46 = 89,699.78/x
  3. Step 3: Cross multiply
    294,863.34x = 442,295.46 × 89,699.78
  4. Step 4: Simplify right side
    294,863.34x = 39,673,805,457.00
  5. Step 5: Solve for x
    x = 39,673,805,457.00/294,863.34
  6. Step 6: Final answer
    x = 134,549.81

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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.