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Finding the Fourth Proportional to 313,304.80, 432,585.36 and 192,608

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Solution

The fourth proportional to 313,304.80, 432,585.36 and 192,608 is: 265,937.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,304.80 : 432,585.36 = 192,608 : x
  2. Step 2: Convert to fraction form
    313,304.80/432,585.36 = 192,608/x
  3. Step 3: Cross multiply
    313,304.80x = 432,585.36 × 192,608
  4. Step 4: Simplify right side
    313,304.80x = 83,319,401,018.88
  5. Step 5: Solve for x
    x = 83,319,401,018.88/313,304.80
  6. Step 6: Final answer
    x = 265,937.20

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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.