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Finding the Fourth Proportional to 342,143,999.70, 513,215,999.55 and 99,806,903.70

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Solution

The fourth proportional to 342,143,999.70, 513,215,999.55 and 99,806,903.70 is: 149,710,355.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,143,999.70 : 513,215,999.55 = 99,806,903.70 : x
  2. Step 2: Convert to fraction form
    342,143,999.70/513,215,999.55 = 99,806,903.70/x
  3. Step 3: Cross multiply
    342,143,999.70x = 513,215,999.55 × 99,806,903.70
  4. Step 4: Simplify right side
    342,143,999.70x = 51,222,499,844,386,096
  5. Step 5: Solve for x
    x = 51,222,499,844,386,096/342,143,999.70
  6. Step 6: Final answer
    x = 149,710,355.55

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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.