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Finding the Fourth Proportional to 272,643.60, 408,965.40 and 72,994.80

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Solution

The fourth proportional to 272,643.60, 408,965.40 and 72,994.80 is: 109,492.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,643.60 : 408,965.40 = 72,994.80 : x
  2. Step 2: Convert to fraction form
    272,643.60/408,965.40 = 72,994.80/x
  3. Step 3: Cross multiply
    272,643.60x = 408,965.40 × 72,994.80
  4. Step 4: Simplify right side
    272,643.60x = 29,852,347,579.92
  5. Step 5: Solve for x
    x = 29,852,347,579.92/272,643.60
  6. Step 6: Final answer
    x = 109,492.20

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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.