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Finding the Fourth Proportional to 299,127.32, 412,797 and 163,164.18

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Solution

The fourth proportional to 299,127.32, 412,797 and 163,164.18 is: 225,167.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,127.32 : 412,797 = 163,164.18 : x
  2. Step 2: Convert to fraction form
    299,127.32/412,797 = 163,164.18/x
  3. Step 3: Cross multiply
    299,127.32x = 412,797 × 163,164.18
  4. Step 4: Simplify right side
    299,127.32x = 67,353,684,011.46
  5. Step 5: Solve for x
    x = 67,353,684,011.46/299,127.32
  6. Step 6: Final answer
    x = 225,167.28

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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.