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Finding the Fourth Proportional to 342,047.97, 472,159.40 and 306,175.95

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Solution

The fourth proportional to 342,047.97, 472,159.40 and 306,175.95 is: 422,642.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,047.97 : 472,159.40 = 306,175.95 : x
  2. Step 2: Convert to fraction form
    342,047.97/472,159.40 = 306,175.95/x
  3. Step 3: Cross multiply
    342,047.97x = 472,159.40 × 306,175.95
  4. Step 4: Simplify right side
    342,047.97x = 144,563,851,315.55
  5. Step 5: Solve for x
    x = 144,563,851,315.55/342,047.97
  6. Step 6: Final answer
    x = 422,642.04

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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.