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Finding the Fourth Proportional to 340,772.81, 470,264.91 and 187,810.67

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Solution

The fourth proportional to 340,772.81, 470,264.91 and 187,810.67 is: 259,177.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,772.81 : 470,264.91 = 187,810.67 : x
  2. Step 2: Convert to fraction form
    340,772.81/470,264.91 = 187,810.67/x
  3. Step 3: Cross multiply
    340,772.81x = 470,264.91 × 187,810.67
  4. Step 4: Simplify right side
    340,772.81x = 88,320,765,473.27
  5. Step 5: Solve for x
    x = 88,320,765,473.27/340,772.81
  6. Step 6: Final answer
    x = 259,177.86

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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.