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Finding the Fourth Proportional to 312,235.07, 468,369.18 and 99,019.78

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Solution

The fourth proportional to 312,235.07, 468,369.18 and 99,019.78 is: 148,534.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,235.07 : 468,369.18 = 99,019.78 : x
  2. Step 2: Convert to fraction form
    312,235.07/468,369.18 = 99,019.78/x
  3. Step 3: Cross multiply
    312,235.07x = 468,369.18 × 99,019.78
  4. Step 4: Simplify right side
    312,235.07x = 46,377,811,991.46
  5. Step 5: Solve for x
    x = 46,377,811,991.46/312,235.07
  6. Step 6: Final answer
    x = 148,534.93

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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.