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Finding the Fourth Proportional to 299,648.40, 413,498.97 and 163,680.38

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Solution

The fourth proportional to 299,648.40, 413,498.97 and 163,680.38 is: 225,870.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,648.40 : 413,498.97 = 163,680.38 : x
  2. Step 2: Convert to fraction form
    299,648.40/413,498.97 = 163,680.38/x
  3. Step 3: Cross multiply
    299,648.40x = 413,498.97 × 163,680.38
  4. Step 4: Simplify right side
    299,648.40x = 67,681,666,471.71
  5. Step 5: Solve for x
    x = 67,681,666,471.71/299,648.40
  6. Step 6: Final answer
    x = 225,870.27

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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.