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Finding the Fourth Proportional to 538,401.76, 806,841.29 and 298,621.30

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Solution

The fourth proportional to 538,401.76, 806,841.29 and 298,621.30 is: 447,509.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,401.76 : 806,841.29 = 298,621.30 : x
  2. Step 2: Convert to fraction form
    538,401.76/806,841.29 = 298,621.30/x
  3. Step 3: Cross multiply
    538,401.76x = 806,841.29 × 298,621.30
  4. Step 4: Simplify right side
    538,401.76x = 240,939,994,913.48
  5. Step 5: Solve for x
    x = 240,939,994,913.48/538,401.76
  6. Step 6: Final answer
    x = 447,509.67

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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.