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Finding the Fourth Proportional to 313,614.90, 432,825.66 and 186,291

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Solution

The fourth proportional to 313,614.90, 432,825.66 and 186,291 is: 257,103.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,614.90 : 432,825.66 = 186,291 : x
  2. Step 2: Convert to fraction form
    313,614.90/432,825.66 = 186,291/x
  3. Step 3: Cross multiply
    313,614.90x = 432,825.66 × 186,291
  4. Step 4: Simplify right side
    313,614.90x = 80,631,525,027.06
  5. Step 5: Solve for x
    x = 80,631,525,027.06/313,614.90
  6. Step 6: Final answer
    x = 257,103.62

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1.5x scale

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.