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Finding the Fourth Proportional to 209,300.32, 313,529.64 and 96,822.64

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Solution

The fourth proportional to 209,300.32, 313,529.64 and 96,822.64 is: 145,039.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,300.32 : 313,529.64 = 96,822.64 : x
  2. Step 2: Convert to fraction form
    209,300.32/313,529.64 = 96,822.64/x
  3. Step 3: Cross multiply
    209,300.32x = 313,529.64 × 96,822.64
  4. Step 4: Simplify right side
    209,300.32x = 30,356,767,463.05
  5. Step 5: Solve for x
    x = 30,356,767,463.05/209,300.32
  6. Step 6: Final answer
    x = 145,039.28

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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.