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Finding the Fourth Proportional to 312,418.60, 468,312.32 and 123,011.86

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Solution

The fourth proportional to 312,418.60, 468,312.32 and 123,011.86 is: 184,393.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,418.60 : 468,312.32 = 123,011.86 : x
  2. Step 2: Convert to fraction form
    312,418.60/468,312.32 = 123,011.86/x
  3. Step 3: Cross multiply
    312,418.60x = 468,312.32 × 123,011.86
  4. Step 4: Simplify right side
    312,418.60x = 57,607,969,544.12
  5. Step 5: Solve for x
    x = 57,607,969,544.12/312,418.60
  6. Step 6: Final answer
    x = 184,393.53

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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.