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Finding the Fourth Proportional to 617,336.96, 851,967.24 and 345,430.64

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Solution

The fourth proportional to 617,336.96, 851,967.24 and 345,430.64 is: 476,717.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,336.96 : 851,967.24 = 345,430.64 : x
  2. Step 2: Convert to fraction form
    617,336.96/851,967.24 = 345,430.64/x
  3. Step 3: Cross multiply
    617,336.96x = 851,967.24 × 345,430.64
  4. Step 4: Simplify right side
    617,336.96x = 294,295,588,972.23
  5. Step 5: Solve for x
    x = 294,295,588,972.23/617,336.96
  6. Step 6: Final answer
    x = 476,717.92

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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.