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Finding the Fourth Proportional to 402,499.60, 556,016.40 and 381,241.96

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Solution

The fourth proportional to 402,499.60, 556,016.40 and 381,241.96 is: 526,650.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,499.60 : 556,016.40 = 381,241.96 : x
  2. Step 2: Convert to fraction form
    402,499.60/556,016.40 = 381,241.96/x
  3. Step 3: Cross multiply
    402,499.60x = 556,016.40 × 381,241.96
  4. Step 4: Simplify right side
    402,499.60x = 211,976,782,128.14
  5. Step 5: Solve for x
    x = 211,976,782,128.14/402,499.60
  6. Step 6: Final answer
    x = 526,650.91

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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.