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Finding the Fourth Proportional to 342,641.94, 512,845.10 and 309,904.98

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Solution

The fourth proportional to 342,641.94, 512,845.10 and 309,904.98 is: 463,846.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,641.94 : 512,845.10 = 309,904.98 : x
  2. Step 2: Convert to fraction form
    342,641.94/512,845.10 = 309,904.98/x
  3. Step 3: Cross multiply
    342,641.94x = 512,845.10 × 309,904.98
  4. Step 4: Simplify right side
    342,641.94x = 158,933,250,458.60
  5. Step 5: Solve for x
    x = 158,933,250,458.60/342,641.94
  6. Step 6: Final answer
    x = 463,846.46

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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.