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Finding the Fourth Proportional to 342,642.60, 513,963.90 and 307,650.60

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Solution

The fourth proportional to 342,642.60, 513,963.90 and 307,650.60 is: 461,475.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,642.60 : 513,963.90 = 307,650.60 : x
  2. Step 2: Convert to fraction form
    342,642.60/513,963.90 = 307,650.60/x
  3. Step 3: Cross multiply
    342,642.60x = 513,963.90 × 307,650.60
  4. Step 4: Simplify right side
    342,642.60x = 158,121,302,213.34
  5. Step 5: Solve for x
    x = 158,121,302,213.34/342,642.60
  6. Step 6: Final answer
    x = 461,475.90

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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.