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Finding the Fourth Proportional to 287,148.82, 430,819.14 and 127,203.03

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Solution

The fourth proportional to 287,148.82, 430,819.14 and 127,203.03 is: 190,847.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,148.82 : 430,819.14 = 127,203.03 : x
  2. Step 2: Convert to fraction form
    287,148.82/430,819.14 = 127,203.03/x
  3. Step 3: Cross multiply
    287,148.82x = 430,819.14 × 127,203.03
  4. Step 4: Simplify right side
    287,148.82x = 54,801,499,989.99
  5. Step 5: Solve for x
    x = 54,801,499,989.99/287,148.82
  6. Step 6: Final answer
    x = 190,847.03

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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.