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Finding the Fourth Proportional to 524,652,004.20, 786,978,006.30 and 161,146,360.20

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Solution

The fourth proportional to 524,652,004.20, 786,978,006.30 and 161,146,360.20 is: 241,719,540.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,652,004.20 : 786,978,006.30 = 161,146,360.20 : x
  2. Step 2: Convert to fraction form
    524,652,004.20/786,978,006.30 = 161,146,360.20/x
  3. Step 3: Cross multiply
    524,652,004.20x = 786,978,006.30 × 161,146,360.20
  4. Step 4: Simplify right side
    524,652,004.20x = 126,818,641,272,697,648
  5. Step 5: Solve for x
    x = 126,818,641,272,697,648/524,652,004.20
  6. Step 6: Final answer
    x = 241,719,540.30

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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.