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Finding the Fourth Proportional to 319,984.64, 480,004.52 and 83,327.75

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Solution

The fourth proportional to 319,984.64, 480,004.52 and 83,327.75 is: 124,998.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,984.64 : 480,004.52 = 83,327.75 : x
  2. Step 2: Convert to fraction form
    319,984.64/480,004.52 = 83,327.75/x
  3. Step 3: Cross multiply
    319,984.64x = 480,004.52 × 83,327.75
  4. Step 4: Simplify right side
    319,984.64x = 39,997,693,824.77
  5. Step 5: Solve for x
    x = 39,997,693,824.77/319,984.64
  6. Step 6: Final answer
    x = 124,998.80

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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.