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Finding the Fourth Proportional to 361,390.58, 498,718.51 and 200,256.06

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Solution

The fourth proportional to 361,390.58, 498,718.51 and 200,256.06 is: 276,353.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,390.58 : 498,718.51 = 200,256.06 : x
  2. Step 2: Convert to fraction form
    361,390.58/498,718.51 = 200,256.06/x
  3. Step 3: Cross multiply
    361,390.58x = 498,718.51 × 200,256.06
  4. Step 4: Simplify right side
    361,390.58x = 99,871,403,861.67
  5. Step 5: Solve for x
    x = 99,871,403,861.67/361,390.58
  6. Step 6: Final answer
    x = 276,353.09

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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.