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Finding the Fourth Proportional to 287,902.56, 397,468.20 and 191,272.28

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Solution

The fourth proportional to 287,902.56, 397,468.20 and 191,272.28 is: 264,063.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,902.56 : 397,468.20 = 191,272.28 : x
  2. Step 2: Convert to fraction form
    287,902.56/397,468.20 = 191,272.28/x
  3. Step 3: Cross multiply
    287,902.56x = 397,468.20 × 191,272.28
  4. Step 4: Simplify right side
    287,902.56x = 76,024,648,841.50
  5. Step 5: Solve for x
    x = 76,024,648,841.50/287,902.56
  6. Step 6: Final answer
    x = 264,063.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.