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Finding the Fourth Proportional to 666,829.50, 920,217.27 and 360,898.98

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Solution

The fourth proportional to 666,829.50, 920,217.27 and 360,898.98 is: 498,036.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,829.50 : 920,217.27 = 360,898.98 : x
  2. Step 2: Convert to fraction form
    666,829.50/920,217.27 = 360,898.98/x
  3. Step 3: Cross multiply
    666,829.50x = 920,217.27 × 360,898.98
  4. Step 4: Simplify right side
    666,829.50x = 332,105,474,121.39
  5. Step 5: Solve for x
    x = 332,105,474,121.39/666,829.50
  6. Step 6: Final answer
    x = 498,036.57

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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.