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Finding the Fourth Proportional to 354,247.86, 529,023.72 and 311,324.34

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Solution

The fourth proportional to 354,247.86, 529,023.72 and 311,324.34 is: 464,922.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,247.86 : 529,023.72 = 311,324.34 : x
  2. Step 2: Convert to fraction form
    354,247.86/529,023.72 = 311,324.34/x
  3. Step 3: Cross multiply
    354,247.86x = 529,023.72 × 311,324.34
  4. Step 4: Simplify right side
    354,247.86x = 164,697,960,473.35
  5. Step 5: Solve for x
    x = 164,697,960,473.35/354,247.86
  6. Step 6: Final answer
    x = 464,922.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.