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Finding the Fourth Proportional to 291,173.40, 401,819.13 and 163,849.10

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Solution

The fourth proportional to 291,173.40, 401,819.13 and 163,849.10 is: 226,111.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,173.40 : 401,819.13 = 163,849.10 : x
  2. Step 2: Convert to fraction form
    291,173.40/401,819.13 = 163,849.10/x
  3. Step 3: Cross multiply
    291,173.40x = 401,819.13 × 163,849.10
  4. Step 4: Simplify right side
    291,173.40x = 65,837,700,804.19
  5. Step 5: Solve for x
    x = 65,837,700,804.19/291,173.40
  6. Step 6: Final answer
    x = 226,111.66

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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.