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Finding the Fourth Proportional to 287,279.60, 430,919.40 and 259,723.40

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Solution

The fourth proportional to 287,279.60, 430,919.40 and 259,723.40 is: 389,585.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,279.60 : 430,919.40 = 259,723.40 : x
  2. Step 2: Convert to fraction form
    287,279.60/430,919.40 = 259,723.40/x
  3. Step 3: Cross multiply
    287,279.60x = 430,919.40 × 259,723.40
  4. Step 4: Simplify right side
    287,279.60x = 111,919,851,693.96
  5. Step 5: Solve for x
    x = 111,919,851,693.96/287,279.60
  6. Step 6: Final answer
    x = 389,585.10

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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.