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Finding the Fourth Proportional to 299,643.91, 413,506.13 and 163,677.89

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Solution

The fourth proportional to 299,643.91, 413,506.13 and 163,677.89 is: 225,874.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,643.91 : 413,506.13 = 163,677.89 : x
  2. Step 2: Convert to fraction form
    299,643.91/413,506.13 = 163,677.89/x
  3. Step 3: Cross multiply
    299,643.91x = 413,506.13 × 163,677.89
  4. Step 4: Simplify right side
    299,643.91x = 67,681,812,303.43
  5. Step 5: Solve for x
    x = 67,681,812,303.43/299,643.91
  6. Step 6: Final answer
    x = 225,874.15

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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.