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Finding the Fourth Proportional to 347,409, 479,424.42 and 188,433

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Solution

The fourth proportional to 347,409, 479,424.42 and 188,433 is: 260,037.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,409 : 479,424.42 = 188,433 : x
  2. Step 2: Convert to fraction form
    347,409/479,424.42 = 188,433/x
  3. Step 3: Cross multiply
    347,409x = 479,424.42 × 188,433
  4. Step 4: Simplify right side
    347,409x = 90,339,381,733.86
  5. Step 5: Solve for x
    x = 90,339,381,733.86/347,409
  6. Step 6: Final answer
    x = 260,037.54

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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.