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Finding the Fourth Proportional to 312,420.15, 468,314.70 and 123,013.45

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Solution

The fourth proportional to 312,420.15, 468,314.70 and 123,013.45 is: 184,395.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,420.15 : 468,314.70 = 123,013.45 : x
  2. Step 2: Convert to fraction form
    312,420.15/468,314.70 = 123,013.45/x
  3. Step 3: Cross multiply
    312,420.15x = 468,314.70 × 123,013.45
  4. Step 4: Simplify right side
    312,420.15x = 57,609,006,932.72
  5. Step 5: Solve for x
    x = 57,609,006,932.72/312,420.15
  6. Step 6: Final answer
    x = 184,395.94

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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.