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Finding the Fourth Proportional to 321,715.52, 482,573.28 and 174,259.52

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Solution

The fourth proportional to 321,715.52, 482,573.28 and 174,259.52 is: 261,389.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,715.52 : 482,573.28 = 174,259.52 : x
  2. Step 2: Convert to fraction form
    321,715.52/482,573.28 = 174,259.52/x
  3. Step 3: Cross multiply
    321,715.52x = 482,573.28 × 174,259.52
  4. Step 4: Simplify right side
    321,715.52x = 84,092,988,137.63
  5. Step 5: Solve for x
    x = 84,092,988,137.63/321,715.52
  6. Step 6: Final answer
    x = 261,389.28

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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.