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Finding the Fourth Proportional to 640,533.07, 960,916.38 and 214,028.29

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Solution

The fourth proportional to 640,533.07, 960,916.38 and 214,028.29 is: 321,081.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,533.07 : 960,916.38 = 214,028.29 : x
  2. Step 2: Convert to fraction form
    640,533.07/960,916.38 = 214,028.29/x
  3. Step 3: Cross multiply
    640,533.07x = 960,916.38 × 214,028.29
  4. Step 4: Simplify right side
    640,533.07x = 205,663,289,644.39
  5. Step 5: Solve for x
    x = 205,663,289,644.39/640,533.07
  6. Step 6: Final answer
    x = 321,081.45

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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.