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Finding the Fourth Proportional to 340,124.36, 470,018.96 and 255,093.80

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Solution

The fourth proportional to 340,124.36, 470,018.96 and 255,093.80 is: 352,514.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,124.36 : 470,018.96 = 255,093.80 : x
  2. Step 2: Convert to fraction form
    340,124.36/470,018.96 = 255,093.80/x
  3. Step 3: Cross multiply
    340,124.36x = 470,018.96 × 255,093.80
  4. Step 4: Simplify right side
    340,124.36x = 119,898,922,578.45
  5. Step 5: Solve for x
    x = 119,898,922,578.45/340,124.36
  6. Step 6: Final answer
    x = 352,514.95

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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.