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Finding the Fourth Proportional to 313,616.78, 432,828.26 and 186,292.88

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Solution

The fourth proportional to 313,616.78, 432,828.26 and 186,292.88 is: 257,106.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,616.78 : 432,828.26 = 186,292.88 : x
  2. Step 2: Convert to fraction form
    313,616.78/432,828.26 = 186,292.88/x
  3. Step 3: Cross multiply
    313,616.78x = 432,828.26 × 186,292.88
  4. Step 4: Simplify right side
    313,616.78x = 80,632,823,100.79
  5. Step 5: Solve for x
    x = 80,632,823,100.79/313,616.78
  6. Step 6: Final answer
    x = 257,106.21

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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.