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Finding the Fourth Proportional to 342,947.21, 473,498.10 and 214,081.88

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Solution

The fourth proportional to 342,947.21, 473,498.10 and 214,081.88 is: 295,577.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,947.21 : 473,498.10 = 214,081.88 : x
  2. Step 2: Convert to fraction form
    342,947.21/473,498.10 = 214,081.88/x
  3. Step 3: Cross multiply
    342,947.21x = 473,498.10 × 214,081.88
  4. Step 4: Simplify right side
    342,947.21x = 101,367,361,056.94
  5. Step 5: Solve for x
    x = 101,367,361,056.94/342,947.21
  6. Step 6: Final answer
    x = 295,577.16

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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.