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Finding the Fourth Proportional to 282,609.83, 390,023.28 and 161,789.02

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Solution

The fourth proportional to 282,609.83, 390,023.28 and 161,789.02 is: 223,281.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,609.83 : 390,023.28 = 161,789.02 : x
  2. Step 2: Convert to fraction form
    282,609.83/390,023.28 = 161,789.02/x
  3. Step 3: Cross multiply
    282,609.83x = 390,023.28 × 161,789.02
  4. Step 4: Simplify right side
    282,609.83x = 63,101,483,273.33
  5. Step 5: Solve for x
    x = 63,101,483,273.33/282,609.83
  6. Step 6: Final answer
    x = 223,281.27

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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.