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Finding the Fourth Proportional to 218,774,762.80, 327,956,857.80 and 82,551,684.40

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Solution

The fourth proportional to 218,774,762.80, 327,956,857.80 and 82,551,684.40 is: 123,750,064.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,774,762.80 : 327,956,857.80 = 82,551,684.40 : x
  2. Step 2: Convert to fraction form
    218,774,762.80/327,956,857.80 = 82,551,684.40/x
  3. Step 3: Cross multiply
    218,774,762.80x = 327,956,857.80 × 82,551,684.40
  4. Step 4: Simplify right side
    218,774,762.80x = 27,073,391,021,921,280
  5. Step 5: Solve for x
    x = 27,073,391,021,921,280/218,774,762.80
  6. Step 6: Final answer
    x = 123,750,064.57

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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.