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Finding the Fourth Proportional to 299,285.42, 413,022.69 and 163,328.17

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Solution

The fourth proportional to 299,285.42, 413,022.69 and 163,328.17 is: 225,397.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,285.42 : 413,022.69 = 163,328.17 : x
  2. Step 2: Convert to fraction form
    299,285.42/413,022.69 = 163,328.17/x
  3. Step 3: Cross multiply
    299,285.42x = 413,022.69 × 163,328.17
  4. Step 4: Simplify right side
    299,285.42x = 67,458,239,868.04
  5. Step 5: Solve for x
    x = 67,458,239,868.04/299,285.42
  6. Step 6: Final answer
    x = 225,397.68

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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.