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Finding the Fourth Proportional to 329,840.88, 454,977.90 and 291,477.30

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Solution

The fourth proportional to 329,840.88, 454,977.90 and 291,477.30 is: 402,059.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,840.88 : 454,977.90 = 291,477.30 : x
  2. Step 2: Convert to fraction form
    329,840.88/454,977.90 = 291,477.30/x
  3. Step 3: Cross multiply
    329,840.88x = 454,977.90 × 291,477.30
  4. Step 4: Simplify right side
    329,840.88x = 132,615,729,851.67
  5. Step 5: Solve for x
    x = 132,615,729,851.67/329,840.88
  6. Step 6: Final answer
    x = 402,059.71

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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.