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Finding the Fourth Proportional to 298,499.60, 447,467.88 and 148,598

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Solution

The fourth proportional to 298,499.60, 447,467.88 and 148,598 is: 222,756.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,499.60 : 447,467.88 = 148,598 : x
  2. Step 2: Convert to fraction form
    298,499.60/447,467.88 = 148,598/x
  3. Step 3: Cross multiply
    298,499.60x = 447,467.88 × 148,598
  4. Step 4: Simplify right side
    298,499.60x = 66,492,832,032.24
  5. Step 5: Solve for x
    x = 66,492,832,032.24/298,499.60
  6. Step 6: Final answer
    x = 222,756.85

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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.