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Finding the Fourth Proportional to 548,401.60, 756,809.76 and 306,693.28

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Solution

The fourth proportional to 548,401.60, 756,809.76 and 306,693.28 is: 423,245.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,401.60 : 756,809.76 = 306,693.28 : x
  2. Step 2: Convert to fraction form
    548,401.60/756,809.76 = 306,693.28/x
  3. Step 3: Cross multiply
    548,401.60x = 756,809.76 × 306,693.28
  4. Step 4: Simplify right side
    548,401.60x = 232,108,467,630.41
  5. Step 5: Solve for x
    x = 232,108,467,630.41/548,401.60
  6. Step 6: Final answer
    x = 423,245.42

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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.