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Finding the Fourth Proportional to 298,938.64, 412,218.84 and 191,513.20

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Solution

The fourth proportional to 298,938.64, 412,218.84 and 191,513.20 is: 264,085.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,938.64 : 412,218.84 = 191,513.20 : x
  2. Step 2: Convert to fraction form
    298,938.64/412,218.84 = 191,513.20/x
  3. Step 3: Cross multiply
    298,938.64x = 412,218.84 × 191,513.20
  4. Step 4: Simplify right side
    298,938.64x = 78,945,349,148.69
  5. Step 5: Solve for x
    x = 78,945,349,148.69/298,938.64
  6. Step 6: Final answer
    x = 264,085.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.