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Finding the Fourth Proportional to 209,230, 313,983.24 and 98,430.64

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Solution

The fourth proportional to 209,230, 313,983.24 and 98,430.64 is: 147,710.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,230 : 313,983.24 = 98,430.64 : x
  2. Step 2: Convert to fraction form
    209,230/313,983.24 = 98,430.64/x
  3. Step 3: Cross multiply
    209,230x = 313,983.24 × 98,430.64
  4. Step 4: Simplify right side
    209,230x = 30,905,571,262.47
  5. Step 5: Solve for x
    x = 30,905,571,262.47/209,230
  6. Step 6: Final answer
    x = 147,710.99

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1.5x scale

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.