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Finding the Fourth Proportional to 209,332.62, 313,999.83 and 65,240.28

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Solution

The fourth proportional to 209,332.62, 313,999.83 and 65,240.28 is: 97,860.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,332.62 : 313,999.83 = 65,240.28 : x
  2. Step 2: Convert to fraction form
    209,332.62/313,999.83 = 65,240.28/x
  3. Step 3: Cross multiply
    209,332.62x = 313,999.83 × 65,240.28
  4. Step 4: Simplify right side
    209,332.62x = 20,485,436,829.15
  5. Step 5: Solve for x
    x = 20,485,436,829.15/209,332.62
  6. Step 6: Final answer
    x = 97,860.70

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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.