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Finding the Fourth Proportional to 287,424,232.60, 431,136,348.90 and 82,958,978.20

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Solution

The fourth proportional to 287,424,232.60, 431,136,348.90 and 82,958,978.20 is: 124,438,467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,424,232.60 : 431,136,348.90 = 82,958,978.20 : x
  2. Step 2: Convert to fraction form
    287,424,232.60/431,136,348.90 = 82,958,978.20/x
  3. Step 3: Cross multiply
    287,424,232.60x = 431,136,348.90 × 82,958,978.20
  4. Step 4: Simplify right side
    287,424,232.60x = 35,766,630,969,622,692
  5. Step 5: Solve for x
    x = 35,766,630,969,622,692/287,424,232.60
  6. Step 6: Final answer
    x = 124,438,467.30

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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.