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Finding the Fourth Proportional to 342,364.60, 513,546.90 and 209,504.35

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Solution

The fourth proportional to 342,364.60, 513,546.90 and 209,504.35 is: 314,256.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,364.60 : 513,546.90 = 209,504.35 : x
  2. Step 2: Convert to fraction form
    342,364.60/513,546.90 = 209,504.35/x
  3. Step 3: Cross multiply
    342,364.60x = 513,546.90 × 209,504.35
  4. Step 4: Simplify right side
    342,364.60x = 107,590,309,479.02
  5. Step 5: Solve for x
    x = 107,590,309,479.02/342,364.60
  6. Step 6: Final answer
    x = 314,256.53

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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.