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Finding the Fourth Proportional to 291,758, 402,626.04 and 157,622

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Solution

The fourth proportional to 291,758, 402,626.04 and 157,622 is: 217,518.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,758 : 402,626.04 = 157,622 : x
  2. Step 2: Convert to fraction form
    291,758/402,626.04 = 157,622/x
  3. Step 3: Cross multiply
    291,758x = 402,626.04 × 157,622
  4. Step 4: Simplify right side
    291,758x = 63,462,721,676.88
  5. Step 5: Solve for x
    x = 63,462,721,676.88/291,758
  6. Step 6: Final answer
    x = 217,518.36

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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.