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Finding the Fourth Proportional to 340,710.74, 470,201.39 and 187,748.66

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Solution

The fourth proportional to 340,710.74, 470,201.39 and 187,748.66 is: 259,104.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,710.74 : 470,201.39 = 187,748.66 : x
  2. Step 2: Convert to fraction form
    340,710.74/470,201.39 = 187,748.66/x
  3. Step 3: Cross multiply
    340,710.74x = 470,201.39 × 187,748.66
  4. Step 4: Simplify right side
    340,710.74x = 88,279,682,547.51
  5. Step 5: Solve for x
    x = 88,279,682,547.51/340,710.74
  6. Step 6: Final answer
    x = 259,104.49

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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.