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Finding the Fourth Proportional to 299,800.20, 413,717.22 and 163,828.20

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Solution

The fourth proportional to 299,800.20, 413,717.22 and 163,828.20 is: 226,079.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,800.20 : 413,717.22 = 163,828.20 : x
  2. Step 2: Convert to fraction form
    299,800.20/413,717.22 = 163,828.20/x
  3. Step 3: Cross multiply
    299,800.20x = 413,717.22 × 163,828.20
  4. Step 4: Simplify right side
    299,800.20x = 67,778,547,461.60
  5. Step 5: Solve for x
    x = 67,778,547,461.60/299,800.20
  6. Step 6: Final answer
    x = 226,079.06

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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.