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Finding the Fourth Proportional to 298,347.64, 446,809.12 and 171,721.71

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Solution

The fourth proportional to 298,347.64, 446,809.12 and 171,721.71 is: 257,172.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,347.64 : 446,809.12 = 171,721.71 : x
  2. Step 2: Convert to fraction form
    298,347.64/446,809.12 = 171,721.71/x
  3. Step 3: Cross multiply
    298,347.64x = 446,809.12 × 171,721.71
  4. Step 4: Simplify right side
    298,347.64x = 76,726,825,700.69
  5. Step 5: Solve for x
    x = 76,726,825,700.69/298,347.64
  6. Step 6: Final answer
    x = 257,172.56

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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.