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Finding the Fourth Proportional to 616,722.12, 850,764.78 and 412,781.58

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Solution

The fourth proportional to 616,722.12, 850,764.78 and 412,781.58 is: 569,429.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,722.12 : 850,764.78 = 412,781.58 : x
  2. Step 2: Convert to fraction form
    616,722.12/850,764.78 = 412,781.58/x
  3. Step 3: Cross multiply
    616,722.12x = 850,764.78 × 412,781.58
  4. Step 4: Simplify right side
    616,722.12x = 351,180,030,096.75
  5. Step 5: Solve for x
    x = 351,180,030,096.75/616,722.12
  6. Step 6: Final answer
    x = 569,429.92

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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.