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Finding the Fourth Proportional to 343,286.88, 473,762.16 and 216,071.52

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Solution

The fourth proportional to 343,286.88, 473,762.16 and 216,071.52 is: 298,195.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,286.88 : 473,762.16 = 216,071.52 : x
  2. Step 2: Convert to fraction form
    343,286.88/473,762.16 = 216,071.52/x
  3. Step 3: Cross multiply
    343,286.88x = 473,762.16 × 216,071.52
  4. Step 4: Simplify right side
    343,286.88x = 102,366,510,029.68
  5. Step 5: Solve for x
    x = 102,366,510,029.68/343,286.88
  6. Step 6: Final answer
    x = 298,195.23

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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.