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Finding the Fourth Proportional to 218,662,662.80, 328,119,965.40 and 82,445,805.20

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Solution

The fourth proportional to 218,662,662.80, 328,119,965.40 and 82,445,805.20 is: 123,716,204.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,662,662.80 : 328,119,965.40 = 82,445,805.20 : x
  2. Step 2: Convert to fraction form
    218,662,662.80/328,119,965.40 = 82,445,805.20/x
  3. Step 3: Cross multiply
    218,662,662.80x = 328,119,965.40 × 82,445,805.20
  4. Step 4: Simplify right side
    218,662,662.80x = 27,052,114,749,599,140
  5. Step 5: Solve for x
    x = 27,052,114,749,599,140/218,662,662.80
  6. Step 6: Final answer
    x = 123,716,204.69

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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.