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Finding the Fourth Proportional to 345,744.83, 477,159.35 and 209,813.36

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Solution

The fourth proportional to 345,744.83, 477,159.35 and 209,813.36 is: 289,561.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,744.83 : 477,159.35 = 209,813.36 : x
  2. Step 2: Convert to fraction form
    345,744.83/477,159.35 = 209,813.36/x
  3. Step 3: Cross multiply
    345,744.83x = 477,159.35 × 209,813.36
  4. Step 4: Simplify right side
    345,744.83x = 100,114,405,429.85
  5. Step 5: Solve for x
    x = 100,114,405,429.85/345,744.83
  6. Step 6: Final answer
    x = 289,561.54

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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.