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Finding the Fourth Proportional to 343,097.68, 473,475.92 and 190,138.40

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Solution

The fourth proportional to 343,097.68, 473,475.92 and 190,138.40 is: 262,391.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,097.68 : 473,475.92 = 190,138.40 : x
  2. Step 2: Convert to fraction form
    343,097.68/473,475.92 = 190,138.40/x
  3. Step 3: Cross multiply
    343,097.68x = 473,475.92 × 190,138.40
  4. Step 4: Simplify right side
    343,097.68x = 90,025,953,867.33
  5. Step 5: Solve for x
    x = 90,025,953,867.33/343,097.68
  6. Step 6: Final answer
    x = 262,391.61

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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.