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Finding the Fourth Proportional to 616,792.21, 851,178.57 and 341,145.43

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Solution

The fourth proportional to 616,792.21, 851,178.57 and 341,145.43 is: 470,783.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,792.21 : 851,178.57 = 341,145.43 : x
  2. Step 2: Convert to fraction form
    616,792.21/851,178.57 = 341,145.43/x
  3. Step 3: Cross multiply
    616,792.21x = 851,178.57 × 341,145.43
  4. Step 4: Simplify right side
    616,792.21x = 290,375,679,269.44
  5. Step 5: Solve for x
    x = 290,375,679,269.44/616,792.21
  6. Step 6: Final answer
    x = 470,783.64

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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.