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Finding the Fourth Proportional to 291,013.01, 401,593.84 and 163,688.57

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Solution

The fourth proportional to 291,013.01, 401,593.84 and 163,688.57 is: 225,887.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,013.01 : 401,593.84 = 163,688.57 : x
  2. Step 2: Convert to fraction form
    291,013.01/401,593.84 = 163,688.57/x
  3. Step 3: Cross multiply
    291,013.01x = 401,593.84 × 163,688.57
  4. Step 4: Simplify right side
    291,013.01x = 65,736,318,973.22
  5. Step 5: Solve for x
    x = 65,736,318,973.22/291,013.01
  6. Step 6: Final answer
    x = 225,887.91

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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.