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Finding the Fourth Proportional to 285,217.74, 393,642 and 164,335.68

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Solution

The fourth proportional to 285,217.74, 393,642 and 164,335.68 is: 226,807.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,217.74 : 393,642 = 164,335.68 : x
  2. Step 2: Convert to fraction form
    285,217.74/393,642 = 164,335.68/x
  3. Step 3: Cross multiply
    285,217.74x = 393,642 × 164,335.68
  4. Step 4: Simplify right side
    285,217.74x = 64,689,425,746.56
  5. Step 5: Solve for x
    x = 64,689,425,746.56/285,217.74
  6. Step 6: Final answer
    x = 226,807.16

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1.5x scale

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.