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Finding the Fourth Proportional to 299,520.81, 413,340.75 and 163,555.74

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Solution

The fourth proportional to 299,520.81, 413,340.75 and 163,555.74 is: 225,708.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,520.81 : 413,340.75 = 163,555.74 : x
  2. Step 2: Convert to fraction form
    299,520.81/413,340.75 = 163,555.74/x
  3. Step 3: Cross multiply
    299,520.81x = 413,340.75 × 163,555.74
  4. Step 4: Simplify right side
    299,520.81x = 67,604,252,238.41
  5. Step 5: Solve for x
    x = 67,604,252,238.41/299,520.81
  6. Step 6: Final answer
    x = 225,708.03

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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.