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Finding the Fourth Proportional to 294,805.73, 442,165.40 and 145,005.81

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Solution

The fourth proportional to 294,805.73, 442,165.40 and 145,005.81 is: 217,487.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,805.73 : 442,165.40 = 145,005.81 : x
  2. Step 2: Convert to fraction form
    294,805.73/442,165.40 = 145,005.81/x
  3. Step 3: Cross multiply
    294,805.73x = 442,165.40 × 145,005.81
  4. Step 4: Simplify right side
    294,805.73x = 64,116,551,255.95
  5. Step 5: Solve for x
    x = 64,116,551,255.95/294,805.73
  6. Step 6: Final answer
    x = 217,487.47

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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.