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Finding the Fourth Proportional to 378,435, 567,652.50 and 153,917.58

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Solution

The fourth proportional to 378,435, 567,652.50 and 153,917.58 is: 230,876.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,435 : 567,652.50 = 153,917.58 : x
  2. Step 2: Convert to fraction form
    378,435/567,652.50 = 153,917.58/x
  3. Step 3: Cross multiply
    378,435x = 567,652.50 × 153,917.58
  4. Step 4: Simplify right side
    378,435x = 87,371,699,080.95
  5. Step 5: Solve for x
    x = 87,371,699,080.95/378,435
  6. Step 6: Final answer
    x = 230,876.37

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1.5x scale

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.