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Finding the Fourth Proportional to 498,589.74, 687,225.33 and 353,208.92

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Solution

The fourth proportional to 498,589.74, 687,225.33 and 353,208.92 is: 486,841.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,589.74 : 687,225.33 = 353,208.92 : x
  2. Step 2: Convert to fraction form
    498,589.74/687,225.33 = 353,208.92/x
  3. Step 3: Cross multiply
    498,589.74x = 687,225.33 × 353,208.92
  4. Step 4: Simplify right side
    498,589.74x = 242,734,113,169.82
  5. Step 5: Solve for x
    x = 242,734,113,169.82/498,589.74
  6. Step 6: Final answer
    x = 486,841.37

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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.