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Finding the Fourth Proportional to 378,580.62, 522,432.10 and 208,811.10

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Solution

The fourth proportional to 378,580.62, 522,432.10 and 208,811.10 is: 288,154.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,580.62 : 522,432.10 = 208,811.10 : x
  2. Step 2: Convert to fraction form
    378,580.62/522,432.10 = 208,811.10/x
  3. Step 3: Cross multiply
    378,580.62x = 522,432.10 × 208,811.10
  4. Step 4: Simplify right side
    378,580.62x = 109,089,621,476.31
  5. Step 5: Solve for x
    x = 109,089,621,476.31/378,580.62
  6. Step 6: Final answer
    x = 288,154.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.