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Finding the Fourth Proportional to 328,543,489.20, 492,783,206.40 and 86,206,393.20

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Solution

The fourth proportional to 328,543,489.20, 492,783,206.40 and 86,206,393.20 is: 129,301,186.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,543,489.20 : 492,783,206.40 = 86,206,393.20 : x
  2. Step 2: Convert to fraction form
    328,543,489.20/492,783,206.40 = 86,206,393.20/x
  3. Step 3: Cross multiply
    328,543,489.20x = 492,783,206.40 × 86,206,393.20
  4. Step 4: Simplify right side
    328,543,489.20x = 42,481,062,853,275,152
  5. Step 5: Solve for x
    x = 42,481,062,853,275,152/328,543,489.20
  6. Step 6: Final answer
    x = 129,301,186.14

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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.