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Finding the Fourth Proportional to 280,154.60, 419,575.80 and 213,232.40

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Solution

The fourth proportional to 280,154.60, 419,575.80 and 213,232.40 is: 319,349.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,154.60 : 419,575.80 = 213,232.40 : x
  2. Step 2: Convert to fraction form
    280,154.60/419,575.80 = 213,232.40/x
  3. Step 3: Cross multiply
    280,154.60x = 419,575.80 × 213,232.40
  4. Step 4: Simplify right side
    280,154.60x = 89,467,154,815.92
  5. Step 5: Solve for x
    x = 89,467,154,815.92/280,154.60
  6. Step 6: Final answer
    x = 319,349.23

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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.