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Finding the Fourth Proportional to 299,285.91, 413,023.35 and 163,328.64

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Solution

The fourth proportional to 299,285.91, 413,023.35 and 163,328.64 is: 225,398.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,285.91 : 413,023.35 = 163,328.64 : x
  2. Step 2: Convert to fraction form
    299,285.91/413,023.35 = 163,328.64/x
  3. Step 3: Cross multiply
    299,285.91x = 413,023.35 × 163,328.64
  4. Step 4: Simplify right side
    299,285.91x = 67,458,542,043.74
  5. Step 5: Solve for x
    x = 67,458,542,043.74/299,285.91
  6. Step 6: Final answer
    x = 225,398.32

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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.