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Finding the Fourth Proportional to 474,722.90, 711,828.93 and 190,270.70

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Solution

The fourth proportional to 474,722.90, 711,828.93 and 190,270.70 is: 285,303.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,722.90 : 711,828.93 = 190,270.70 : x
  2. Step 2: Convert to fraction form
    474,722.90/711,828.93 = 190,270.70/x
  3. Step 3: Cross multiply
    474,722.90x = 711,828.93 × 190,270.70
  4. Step 4: Simplify right side
    474,722.90x = 135,440,188,791.35
  5. Step 5: Solve for x
    x = 135,440,188,791.35/474,722.90
  6. Step 6: Final answer
    x = 285,303.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.