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Finding the Fourth Proportional to 401,433.48, 553,978.97 and 220,146.68

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Solution

The fourth proportional to 401,433.48, 553,978.97 and 220,146.68 is: 303,802.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,433.48 : 553,978.97 = 220,146.68 : x
  2. Step 2: Convert to fraction form
    401,433.48/553,978.97 = 220,146.68/x
  3. Step 3: Cross multiply
    401,433.48x = 553,978.97 × 220,146.68
  4. Step 4: Simplify right side
    401,433.48x = 121,956,627,164.69
  5. Step 5: Solve for x
    x = 121,956,627,164.69/401,433.48
  6. Step 6: Final answer
    x = 303,802.83

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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.