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Finding the Fourth Proportional to 345,274.89, 476,503.31 and 209,314.57

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Solution

The fourth proportional to 345,274.89, 476,503.31 and 209,314.57 is: 288,868.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,274.89 : 476,503.31 = 209,314.57 : x
  2. Step 2: Convert to fraction form
    345,274.89/476,503.31 = 209,314.57/x
  3. Step 3: Cross multiply
    345,274.89x = 476,503.31 × 209,314.57
  4. Step 4: Simplify right side
    345,274.89x = 99,739,084,484.30
  5. Step 5: Solve for x
    x = 99,739,084,484.30/345,274.89
  6. Step 6: Final answer
    x = 288,868.63

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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.