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Finding the Fourth Proportional to 285,152.48, 393,551.96 and 164,270.48

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Solution

The fourth proportional to 285,152.48, 393,551.96 and 164,270.48 is: 226,717.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,152.48 : 393,551.96 = 164,270.48 : x
  2. Step 2: Convert to fraction form
    285,152.48/393,551.96 = 164,270.48/x
  3. Step 3: Cross multiply
    285,152.48x = 393,551.96 × 164,270.48
  4. Step 4: Simplify right side
    285,152.48x = 64,648,969,374.14
  5. Step 5: Solve for x
    x = 64,648,969,374.14/285,152.48
  6. Step 6: Final answer
    x = 226,717.19

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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.