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Finding the Fourth Proportional to 1,297,766.72, 1,946,496.48 and 399,206.72

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Solution

The fourth proportional to 1,297,766.72, 1,946,496.48 and 399,206.72 is: 598,762.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,766.72 : 1,946,496.48 = 399,206.72 : x
  2. Step 2: Convert to fraction form
    1,297,766.72/1,946,496.48 = 399,206.72/x
  3. Step 3: Cross multiply
    1,297,766.72x = 1,946,496.48 × 399,206.72
  4. Step 4: Simplify right side
    1,297,766.72x = 777,054,475,272.35
  5. Step 5: Solve for x
    x = 777,054,475,272.35/1,297,766.72
  6. Step 6: Final answer
    x = 598,762.83

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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.