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Finding the Fourth Proportional to 291,213.84, 401,875.02 and 163,890.12

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Solution

The fourth proportional to 291,213.84, 401,875.02 and 163,890.12 is: 226,168.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,213.84 : 401,875.02 = 163,890.12 : x
  2. Step 2: Convert to fraction form
    291,213.84/401,875.02 = 163,890.12/x
  3. Step 3: Cross multiply
    291,213.84x = 401,875.02 × 163,890.12
  4. Step 4: Simplify right side
    291,213.84x = 65,863,345,252.80
  5. Step 5: Solve for x
    x = 65,863,345,252.80/291,213.84
  6. Step 6: Final answer
    x = 226,168.32

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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.