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Finding the Fourth Proportional to 287,278.60, 430,917.90 and 259,722.40

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Solution

The fourth proportional to 287,278.60, 430,917.90 and 259,722.40 is: 389,583.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,278.60 : 430,917.90 = 259,722.40 : x
  2. Step 2: Convert to fraction form
    287,278.60/430,917.90 = 259,722.40/x
  3. Step 3: Cross multiply
    287,278.60x = 430,917.90 × 259,722.40
  4. Step 4: Simplify right side
    287,278.60x = 111,919,031,190.96
  5. Step 5: Solve for x
    x = 111,919,031,190.96/287,278.60
  6. Step 6: Final answer
    x = 389,583.60

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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.