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Finding the Fourth Proportional to 285,339.88, 393,856.32 and 164,561.68

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Solution

The fourth proportional to 285,339.88, 393,856.32 and 164,561.68 is: 227,145.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,339.88 : 393,856.32 = 164,561.68 : x
  2. Step 2: Convert to fraction form
    285,339.88/393,856.32 = 164,561.68/x
  3. Step 3: Cross multiply
    285,339.88x = 393,856.32 × 164,561.68
  4. Step 4: Simplify right side
    285,339.88x = 64,813,657,697.82
  5. Step 5: Solve for x
    x = 64,813,657,697.82/285,339.88
  6. Step 6: Final answer
    x = 227,145.46

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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.