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Finding the Fourth Proportional to 320,467,615.52, 480,686,978.14 and 133,644,627.68

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Solution

The fourth proportional to 320,467,615.52, 480,686,978.14 and 133,644,627.68 is: 200,460,917.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,467,615.52 : 480,686,978.14 = 133,644,627.68 : x
  2. Step 2: Convert to fraction form
    320,467,615.52/480,686,978.14 = 133,644,627.68/x
  3. Step 3: Cross multiply
    320,467,615.52x = 480,686,978.14 × 133,644,627.68
  4. Step 4: Simplify right side
    320,467,615.52x = 64,241,232,224,144,600
  5. Step 5: Solve for x
    x = 64,241,232,224,144,600/320,467,615.52
  6. Step 6: Final answer
    x = 200,460,917.46

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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.