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Finding the Fourth Proportional to 345,281.84, 476,512.86 and 209,321.52

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Solution

The fourth proportional to 345,281.84, 476,512.86 and 209,321.52 is: 288,878.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,281.84 : 476,512.86 = 209,321.52 : x
  2. Step 2: Convert to fraction form
    345,281.84/476,512.86 = 209,321.52/x
  3. Step 3: Cross multiply
    345,281.84x = 476,512.86 × 209,321.52
  4. Step 4: Simplify right side
    345,281.84x = 99,744,393,975.35
  5. Step 5: Solve for x
    x = 99,744,393,975.35/345,281.84
  6. Step 6: Final answer
    x = 288,878.19

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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.