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Finding the Fourth Proportional to 353,349, 487,626.48 and 202,446

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Solution

The fourth proportional to 353,349, 487,626.48 and 202,446 is: 279,378.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,349 : 487,626.48 = 202,446 : x
  2. Step 2: Convert to fraction form
    353,349/487,626.48 = 202,446/x
  3. Step 3: Cross multiply
    353,349x = 487,626.48 × 202,446
  4. Step 4: Simplify right side
    353,349x = 98,718,030,370.08
  5. Step 5: Solve for x
    x = 98,718,030,370.08/353,349
  6. Step 6: Final answer
    x = 279,378.26

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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.