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Finding the Fourth Proportional to 515,171.62, 710,942.70 and 285,733.45

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Solution

The fourth proportional to 515,171.62, 710,942.70 and 285,733.45 is: 394,315.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,171.62 : 710,942.70 = 285,733.45 : x
  2. Step 2: Convert to fraction form
    515,171.62/710,942.70 = 285,733.45/x
  3. Step 3: Cross multiply
    515,171.62x = 710,942.70 × 285,733.45
  4. Step 4: Simplify right side
    515,171.62x = 203,140,110,423.32
  5. Step 5: Solve for x
    x = 203,140,110,423.32/515,171.62
  6. Step 6: Final answer
    x = 394,315.41

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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.