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Finding the Fourth Proportional to 329,643.60, 494,465.40 and 272,562.90

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Solution

The fourth proportional to 329,643.60, 494,465.40 and 272,562.90 is: 408,844.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,643.60 : 494,465.40 = 272,562.90 : x
  2. Step 2: Convert to fraction form
    329,643.60/494,465.40 = 272,562.90/x
  3. Step 3: Cross multiply
    329,643.60x = 494,465.40 × 272,562.90
  4. Step 4: Simplify right side
    329,643.60x = 134,772,923,373.66
  5. Step 5: Solve for x
    x = 134,772,923,373.66/329,643.60
  6. Step 6: Final answer
    x = 408,844.35

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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.