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Finding the Fourth Proportional to 640,875.76, 962,144.68 and 428,999.20

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Solution

The fourth proportional to 640,875.76, 962,144.68 and 428,999.20 is: 644,055.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,875.76 : 962,144.68 = 428,999.20 : x
  2. Step 2: Convert to fraction form
    640,875.76/962,144.68 = 428,999.20/x
  3. Step 3: Cross multiply
    640,875.76x = 962,144.68 × 428,999.20
  4. Step 4: Simplify right side
    640,875.76x = 412,759,298,004.26
  5. Step 5: Solve for x
    x = 412,759,298,004.26/640,875.76
  6. Step 6: Final answer
    x = 644,055.09

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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.