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Finding the Fourth Proportional to 305,021.52, 457,593.36 and 105,349.20

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Solution

The fourth proportional to 305,021.52, 457,593.36 and 105,349.20 is: 158,044.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,021.52 : 457,593.36 = 105,349.20 : x
  2. Step 2: Convert to fraction form
    305,021.52/457,593.36 = 105,349.20/x
  3. Step 3: Cross multiply
    305,021.52x = 457,593.36 × 105,349.20
  4. Step 4: Simplify right side
    305,021.52x = 48,207,094,401.31
  5. Step 5: Solve for x
    x = 48,207,094,401.31/305,021.52
  6. Step 6: Final answer
    x = 158,044.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.