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Finding the Fourth Proportional to 284,634.20, 426,959.94 and 97,643

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Solution

The fourth proportional to 284,634.20, 426,959.94 and 97,643 is: 146,467.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,634.20 : 426,959.94 = 97,643 : x
  2. Step 2: Convert to fraction form
    284,634.20/426,959.94 = 97,643/x
  3. Step 3: Cross multiply
    284,634.20x = 426,959.94 × 97,643
  4. Step 4: Simplify right side
    284,634.20x = 41,689,649,421.42
  5. Step 5: Solve for x
    x = 41,689,649,421.42/284,634.20
  6. Step 6: Final answer
    x = 146,467.46

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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.