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Finding the Fourth Proportional to 305,851.52, 422,075.10 and 171,715.52

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Solution

The fourth proportional to 305,851.52, 422,075.10 and 171,715.52 is: 236,967.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,851.52 : 422,075.10 = 171,715.52 : x
  2. Step 2: Convert to fraction form
    305,851.52/422,075.10 = 171,715.52/x
  3. Step 3: Cross multiply
    305,851.52x = 422,075.10 × 171,715.52
  4. Step 4: Simplify right side
    305,851.52x = 72,476,845,275.55
  5. Step 5: Solve for x
    x = 72,476,845,275.55/305,851.52
  6. Step 6: Final answer
    x = 236,967.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.