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Finding the Fourth Proportional to 209,234, 313,989.24 and 98,434.64

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Solution

The fourth proportional to 209,234, 313,989.24 and 98,434.64 is: 147,717.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,234 : 313,989.24 = 98,434.64 : x
  2. Step 2: Convert to fraction form
    209,234/313,989.24 = 98,434.64/x
  3. Step 3: Cross multiply
    209,234x = 313,989.24 × 98,434.64
  4. Step 4: Simplify right side
    209,234x = 30,907,417,803.27
  5. Step 5: Solve for x
    x = 30,907,417,803.27/209,234
  6. Step 6: Final answer
    x = 147,717.00

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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.