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Finding the Fourth Proportional to 291,225.26, 401,903.79 and 163,909.10

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Solution

The fourth proportional to 291,225.26, 401,903.79 and 163,909.10 is: 226,201.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,225.26 : 401,903.79 = 163,909.10 : x
  2. Step 2: Convert to fraction form
    291,225.26/401,903.79 = 163,909.10/x
  3. Step 3: Cross multiply
    291,225.26x = 401,903.79 × 163,909.10
  4. Step 4: Simplify right side
    291,225.26x = 65,875,688,505.49
  5. Step 5: Solve for x
    x = 65,875,688,505.49/291,225.26
  6. Step 6: Final answer
    x = 226,201.84

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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.