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Finding the Fourth Proportional to 299,508.89, 413,339.04 and 163,555.48

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Solution

The fourth proportional to 299,508.89, 413,339.04 and 163,555.48 is: 225,715.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,508.89 : 413,339.04 = 163,555.48 : x
  2. Step 2: Convert to fraction form
    299,508.89/413,339.04 = 163,555.48/x
  3. Step 3: Cross multiply
    299,508.89x = 413,339.04 × 163,555.48
  4. Step 4: Simplify right side
    299,508.89x = 67,603,864,056.59
  5. Step 5: Solve for x
    x = 67,603,864,056.59/299,508.89
  6. Step 6: Final answer
    x = 225,715.72

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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.