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Finding the Fourth Proportional to 522,128.64, 783,453.12 and 206,812.80

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Solution

The fourth proportional to 522,128.64, 783,453.12 and 206,812.80 is: 310,322.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,128.64 : 783,453.12 = 206,812.80 : x
  2. Step 2: Convert to fraction form
    522,128.64/783,453.12 = 206,812.80/x
  3. Step 3: Cross multiply
    522,128.64x = 783,453.12 × 206,812.80
  4. Step 4: Simplify right side
    522,128.64x = 162,028,133,415.94
  5. Step 5: Solve for x
    x = 162,028,133,415.94/522,128.64
  6. Step 6: Final answer
    x = 310,322.25

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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.