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Finding the Fourth Proportional to 508,775,489.80, 763,163,234.70 and 181,620,410.20

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Solution

The fourth proportional to 508,775,489.80, 763,163,234.70 and 181,620,410.20 is: 272,430,615.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,775,489.80 : 763,163,234.70 = 181,620,410.20 : x
  2. Step 2: Convert to fraction form
    508,775,489.80/763,163,234.70 = 181,620,410.20/x
  3. Step 3: Cross multiply
    508,775,489.80x = 763,163,234.70 × 181,620,410.20
  4. Step 4: Simplify right side
    508,775,489.80x = 138,606,019,735,772,880
  5. Step 5: Solve for x
    x = 138,606,019,735,772,880/508,775,489.80
  6. Step 6: Final answer
    x = 272,430,615.30

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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.