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Finding the Fourth Proportional to 342,999.94, 512,052.89 and 320,206.04

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Solution

The fourth proportional to 342,999.94, 512,052.89 and 320,206.04 is: 478,024.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,999.94 : 512,052.89 = 320,206.04 : x
  2. Step 2: Convert to fraction form
    342,999.94/512,052.89 = 320,206.04/x
  3. Step 3: Cross multiply
    342,999.94x = 512,052.89 × 320,206.04
  4. Step 4: Simplify right side
    342,999.94x = 163,962,427,856.56
  5. Step 5: Solve for x
    x = 163,962,427,856.56/342,999.94
  6. Step 6: Final answer
    x = 478,024.66

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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.