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Finding the Fourth Proportional to 345,388.10, 476,509.14 and 209,323.89

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Solution

The fourth proportional to 345,388.10, 476,509.14 and 209,323.89 is: 288,790.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,388.10 : 476,509.14 = 209,323.89 : x
  2. Step 2: Convert to fraction form
    345,388.10/476,509.14 = 209,323.89/x
  3. Step 3: Cross multiply
    345,388.10x = 476,509.14 × 209,323.89
  4. Step 4: Simplify right side
    345,388.10x = 99,744,746,805.35
  5. Step 5: Solve for x
    x = 99,744,746,805.35/345,388.10
  6. Step 6: Final answer
    x = 288,790.34

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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.