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Finding the Fourth Proportional to 426,205.60, 638,530.80 and 259,799.20

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Solution

The fourth proportional to 426,205.60, 638,530.80 and 259,799.20 is: 389,224.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,205.60 : 638,530.80 = 259,799.20 : x
  2. Step 2: Convert to fraction form
    426,205.60/638,530.80 = 259,799.20/x
  3. Step 3: Cross multiply
    426,205.60x = 638,530.80 × 259,799.20
  4. Step 4: Simplify right side
    426,205.60x = 165,889,791,015.36
  5. Step 5: Solve for x
    x = 165,889,791,015.36/426,205.60
  6. Step 6: Final answer
    x = 389,224.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.