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Finding the Fourth Proportional to 640,112.16, 959,494.20 and 213,533.76

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Solution

The fourth proportional to 640,112.16, 959,494.20 and 213,533.76 is: 320,075.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,112.16 : 959,494.20 = 213,533.76 : x
  2. Step 2: Convert to fraction form
    640,112.16/959,494.20 = 213,533.76/x
  3. Step 3: Cross multiply
    640,112.16x = 959,494.20 × 213,533.76
  4. Step 4: Simplify right side
    640,112.16x = 204,884,404,224.19
  5. Step 5: Solve for x
    x = 204,884,404,224.19/640,112.16
  6. Step 6: Final answer
    x = 320,075.79

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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.