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Finding the Fourth Proportional to 427,459.73, 589,889.98 and 233,865.61

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Solution

The fourth proportional to 427,459.73, 589,889.98 and 233,865.61 is: 322,732.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,459.73 : 589,889.98 = 233,865.61 : x
  2. Step 2: Convert to fraction form
    427,459.73/589,889.98 = 233,865.61/x
  3. Step 3: Cross multiply
    427,459.73x = 589,889.98 × 233,865.61
  4. Step 4: Simplify right side
    427,459.73x = 137,954,980,005.59
  5. Step 5: Solve for x
    x = 137,954,980,005.59/427,459.73
  6. Step 6: Final answer
    x = 322,732.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.