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Finding the Fourth Proportional to 353,424.42, 487,718.98 and 196,255.06

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Solution

The fourth proportional to 353,424.42, 487,718.98 and 196,255.06 is: 270,828.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,424.42 : 487,718.98 = 196,255.06 : x
  2. Step 2: Convert to fraction form
    353,424.42/487,718.98 = 196,255.06/x
  3. Step 3: Cross multiply
    353,424.42x = 487,718.98 × 196,255.06
  4. Step 4: Simplify right side
    353,424.42x = 95,717,317,683.04
  5. Step 5: Solve for x
    x = 95,717,317,683.04/353,424.42
  6. Step 6: Final answer
    x = 270,828.25

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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.