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Finding the Fourth Proportional to 340,769.64, 470,265.24 and 187,813.40

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Solution

The fourth proportional to 340,769.64, 470,265.24 and 187,813.40 is: 259,184.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,769.64 : 470,265.24 = 187,813.40 : x
  2. Step 2: Convert to fraction form
    340,769.64/470,265.24 = 187,813.40/x
  3. Step 3: Cross multiply
    340,769.64x = 470,265.24 × 187,813.40
  4. Step 4: Simplify right side
    340,769.64x = 88,322,113,626.22
  5. Step 5: Solve for x
    x = 88,322,113,626.22/340,769.64
  6. Step 6: Final answer
    x = 259,184.22

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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.