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Finding the Fourth Proportional to 287,768.96, 431,657.60 and 110,284.96

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Solution

The fourth proportional to 287,768.96, 431,657.60 and 110,284.96 is: 165,429.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,768.96 : 431,657.60 = 110,284.96 : x
  2. Step 2: Convert to fraction form
    287,768.96/431,657.60 = 110,284.96/x
  3. Step 3: Cross multiply
    287,768.96x = 431,657.60 × 110,284.96
  4. Step 4: Simplify right side
    287,768.96x = 47,605,341,149.70
  5. Step 5: Solve for x
    x = 47,605,341,149.70/287,768.96
  6. Step 6: Final answer
    x = 165,429.03

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1.5x scale

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.