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Finding the Fourth Proportional to 289,308.97, 434,032.22 and 120,735.64

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Solution

The fourth proportional to 289,308.97, 434,032.22 and 120,735.64 is: 181,132.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,308.97 : 434,032.22 = 120,735.64 : x
  2. Step 2: Convert to fraction form
    289,308.97/434,032.22 = 120,735.64/x
  3. Step 3: Cross multiply
    289,308.97x = 434,032.22 × 120,735.64
  4. Step 4: Simplify right side
    289,308.97x = 52,403,157,862.32
  5. Step 5: Solve for x
    x = 52,403,157,862.32/289,308.97
  6. Step 6: Final answer
    x = 181,132.16

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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.