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Finding the Fourth Proportional to 342,999.36, 512,052.04 and 320,205.48

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Solution

The fourth proportional to 342,999.36, 512,052.04 and 320,205.48 is: 478,023.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,999.36 : 512,052.04 = 320,205.48 : x
  2. Step 2: Convert to fraction form
    342,999.36/512,052.04 = 320,205.48/x
  3. Step 3: Cross multiply
    342,999.36x = 512,052.04 × 320,205.48
  4. Step 4: Simplify right side
    342,999.36x = 163,961,869,253.18
  5. Step 5: Solve for x
    x = 163,961,869,253.18/342,999.36
  6. Step 6: Final answer
    x = 478,023.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.