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Finding the Fourth Proportional to 348,034.60, 522,051.90 and 280,383.40

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Solution

The fourth proportional to 348,034.60, 522,051.90 and 280,383.40 is: 420,575.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,034.60 : 522,051.90 = 280,383.40 : x
  2. Step 2: Convert to fraction form
    348,034.60/522,051.90 = 280,383.40/x
  3. Step 3: Cross multiply
    348,034.60x = 522,051.90 × 280,383.40
  4. Step 4: Simplify right side
    348,034.60x = 146,374,686,698.46
  5. Step 5: Solve for x
    x = 146,374,686,698.46/348,034.60
  6. Step 6: Final answer
    x = 420,575.10

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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.