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Finding the Fourth Proportional to 617,145.63, 851,739.75 and 345,228.63

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Solution

The fourth proportional to 617,145.63, 851,739.75 and 345,228.63 is: 476,459.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,145.63 : 851,739.75 = 345,228.63 : x
  2. Step 2: Convert to fraction form
    617,145.63/851,739.75 = 345,228.63/x
  3. Step 3: Cross multiply
    617,145.63x = 851,739.75 × 345,228.63
  4. Step 4: Simplify right side
    617,145.63x = 294,044,947,009.04
  5. Step 5: Solve for x
    x = 294,044,947,009.04/617,145.63
  6. Step 6: Final answer
    x = 476,459.58

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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.