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Finding the Fourth Proportional to 291,088.80, 401,701.92 and 163,764.48

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Solution

The fourth proportional to 291,088.80, 401,701.92 and 163,764.48 is: 225,994.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,088.80 : 401,701.92 = 163,764.48 : x
  2. Step 2: Convert to fraction form
    291,088.80/401,701.92 = 163,764.48/x
  3. Step 3: Cross multiply
    291,088.80x = 401,701.92 × 163,764.48
  4. Step 4: Simplify right side
    291,088.80x = 65,784,506,043.80
  5. Step 5: Solve for x
    x = 65,784,506,043.80/291,088.80
  6. Step 6: Final answer
    x = 225,994.63

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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.