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Finding the Fourth Proportional to 289,293.47, 434,009.49 and 120,720.02

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Solution

The fourth proportional to 289,293.47, 434,009.49 and 120,720.02 is: 181,108.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,293.47 : 434,009.49 = 120,720.02 : x
  2. Step 2: Convert to fraction form
    289,293.47/434,009.49 = 120,720.02/x
  3. Step 3: Cross multiply
    289,293.47x = 434,009.49 × 120,720.02
  4. Step 4: Simplify right side
    289,293.47x = 52,393,633,709.39
  5. Step 5: Solve for x
    x = 52,393,633,709.39/289,293.47
  6. Step 6: Final answer
    x = 181,108.94

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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.