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Finding the Fourth Proportional to 645,600, 968,555.52 and 202,368

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Solution

The fourth proportional to 645,600, 968,555.52 and 202,368 is: 303,600.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,600 : 968,555.52 = 202,368 : x
  2. Step 2: Convert to fraction form
    645,600/968,555.52 = 202,368/x
  3. Step 3: Cross multiply
    645,600x = 968,555.52 × 202,368
  4. Step 4: Simplify right side
    645,600x = 196,004,643,471.36
  5. Step 5: Solve for x
    x = 196,004,643,471.36/645,600
  6. Step 6: Final answer
    x = 303,600.75

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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.