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Finding the Fourth Proportional to 287,835.60, 431,388.90 and 110,105.40

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Solution

The fourth proportional to 287,835.60, 431,388.90 and 110,105.40 is: 165,018.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,835.60 : 431,388.90 = 110,105.40 : x
  2. Step 2: Convert to fraction form
    287,835.60/431,388.90 = 110,105.40/x
  3. Step 3: Cross multiply
    287,835.60x = 431,388.90 × 110,105.40
  4. Step 4: Simplify right side
    287,835.60x = 47,498,247,390.06
  5. Step 5: Solve for x
    x = 47,498,247,390.06/287,835.60
  6. Step 6: Final answer
    x = 165,018.67

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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.