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Finding the Fourth Proportional to 298,585.60, 447,980.80 and 132,492.80

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Solution

The fourth proportional to 298,585.60, 447,980.80 and 132,492.80 is: 198,784.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,585.60 : 447,980.80 = 132,492.80 : x
  2. Step 2: Convert to fraction form
    298,585.60/447,980.80 = 132,492.80/x
  3. Step 3: Cross multiply
    298,585.60x = 447,980.80 × 132,492.80
  4. Step 4: Simplify right side
    298,585.60x = 59,354,230,538.24
  5. Step 5: Solve for x
    x = 59,354,230,538.24/298,585.60
  6. Step 6: Final answer
    x = 198,784.64

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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.