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Finding the Fourth Proportional to 485,692,851.20, 728,590,311.13 and 158,193,866.54

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Solution

The fourth proportional to 485,692,851.20, 728,590,311.13 and 158,193,866.54 is: 237,307,422.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,692,851.20 : 728,590,311.13 = 158,193,866.54 : x
  2. Step 2: Convert to fraction form
    485,692,851.20/728,590,311.13 = 158,193,866.54/x
  3. Step 3: Cross multiply
    485,692,851.20x = 728,590,311.13 × 158,193,866.54
  4. Step 4: Simplify right side
    485,692,851.20x = 115,258,518,442,662,288
  5. Step 5: Solve for x
    x = 115,258,518,442,662,288/485,692,851.20
  6. Step 6: Final answer
    x = 237,307,422.09

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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.