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Finding the Fourth Proportional to 287,475,739.20, 431,213,608.80 and 205,846,401.60

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Solution

The fourth proportional to 287,475,739.20, 431,213,608.80 and 205,846,401.60 is: 308,769,602.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,475,739.20 : 431,213,608.80 = 205,846,401.60 : x
  2. Step 2: Convert to fraction form
    287,475,739.20/431,213,608.80 = 205,846,401.60/x
  3. Step 3: Cross multiply
    287,475,739.20x = 431,213,608.80 × 205,846,401.60
  4. Step 4: Simplify right side
    287,475,739.20x = 88,763,769,692,430,096
  5. Step 5: Solve for x
    x = 88,763,769,692,430,096/287,475,739.20
  6. Step 6: Final answer
    x = 308,769,602.40

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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.