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Finding the Fourth Proportional to 340,786.94, 470,138.13 and 202,888.71

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Solution

The fourth proportional to 340,786.94, 470,138.13 and 202,888.71 is: 279,898.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,786.94 : 470,138.13 = 202,888.71 : x
  2. Step 2: Convert to fraction form
    340,786.94/470,138.13 = 202,888.71/x
  3. Step 3: Cross multiply
    340,786.94x = 470,138.13 × 202,888.71
  4. Step 4: Simplify right side
    340,786.94x = 95,385,718,717.51
  5. Step 5: Solve for x
    x = 95,385,718,717.51/340,786.94
  6. Step 6: Final answer
    x = 279,898.40

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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.