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Finding the Fourth Proportional to 297,462.94, 446,358.09 and 128,984.54

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Solution

The fourth proportional to 297,462.94, 446,358.09 and 128,984.54 is: 193,547.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,462.94 : 446,358.09 = 128,984.54 : x
  2. Step 2: Convert to fraction form
    297,462.94/446,358.09 = 128,984.54/x
  3. Step 3: Cross multiply
    297,462.94x = 446,358.09 × 128,984.54
  4. Step 4: Simplify right side
    297,462.94x = 57,573,292,913.93
  5. Step 5: Solve for x
    x = 57,573,292,913.93/297,462.94
  6. Step 6: Final answer
    x = 193,547.78

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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.