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Finding the Fourth Proportional to 343,046.75, 473,404.52 and 208,910.75

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Solution

The fourth proportional to 343,046.75, 473,404.52 and 208,910.75 is: 288,296.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,046.75 : 473,404.52 = 208,910.75 : x
  2. Step 2: Convert to fraction form
    343,046.75/473,404.52 = 208,910.75/x
  3. Step 3: Cross multiply
    343,046.75x = 473,404.52 × 208,910.75
  4. Step 4: Simplify right side
    343,046.75x = 98,899,292,282.04
  5. Step 5: Solve for x
    x = 98,899,292,282.04/343,046.75
  6. Step 6: Final answer
    x = 288,296.84

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1.5x scale

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.