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Finding the Fourth Proportional to 282,647.37, 390,035.01 and 161,789.61

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Solution

The fourth proportional to 282,647.37, 390,035.01 and 161,789.61 is: 223,259.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,647.37 : 390,035.01 = 161,789.61 : x
  2. Step 2: Convert to fraction form
    282,647.37/390,035.01 = 161,789.61/x
  3. Step 3: Cross multiply
    282,647.37x = 390,035.01 × 161,789.61
  4. Step 4: Simplify right side
    282,647.37x = 63,103,612,154.25
  5. Step 5: Solve for x
    x = 63,103,612,154.25/282,647.37
  6. Step 6: Final answer
    x = 223,259.15

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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.