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Finding the Fourth Proportional to 280,289.60, 420,349.44 and 102,811.04

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Solution

The fourth proportional to 280,289.60, 420,349.44 and 102,811.04 is: 154,185.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,289.60 : 420,349.44 = 102,811.04 : x
  2. Step 2: Convert to fraction form
    280,289.60/420,349.44 = 102,811.04/x
  3. Step 3: Cross multiply
    280,289.60x = 420,349.44 × 102,811.04
  4. Step 4: Simplify right side
    280,289.60x = 43,216,563,089.82
  5. Step 5: Solve for x
    x = 43,216,563,089.82/280,289.60
  6. Step 6: Final answer
    x = 154,185.40

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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.