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Finding the Fourth Proportional to 284,519.07, 426,803.21 and 74,157

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Solution

The fourth proportional to 284,519.07, 426,803.21 and 74,157 is: 111,241.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,519.07 : 426,803.21 = 74,157 : x
  2. Step 2: Convert to fraction form
    284,519.07/426,803.21 = 74,157/x
  3. Step 3: Cross multiply
    284,519.07x = 426,803.21 × 74,157
  4. Step 4: Simplify right side
    284,519.07x = 31,650,445,273.19
  5. Step 5: Solve for x
    x = 31,650,445,273.19/284,519.07
  6. Step 6: Final answer
    x = 111,241.91

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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.