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Finding the Fourth Proportional to 345,378.66, 476,491.52 and 209,363.02

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Solution

The fourth proportional to 345,378.66, 476,491.52 and 209,363.02 is: 288,841.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,378.66 : 476,491.52 = 209,363.02 : x
  2. Step 2: Convert to fraction form
    345,378.66/476,491.52 = 209,363.02/x
  3. Step 3: Cross multiply
    345,378.66x = 476,491.52 × 209,363.02
  4. Step 4: Simplify right side
    345,378.66x = 99,759,703,631.59
  5. Step 5: Solve for x
    x = 99,759,703,631.59/345,378.66
  6. Step 6: Final answer
    x = 288,841.54

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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.