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Finding the Fourth Proportional to 511,311.40, 767,744.70 and 393,116.20

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Solution

The fourth proportional to 511,311.40, 767,744.70 and 393,116.20 is: 590,272.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,311.40 : 767,744.70 = 393,116.20 : x
  2. Step 2: Convert to fraction form
    511,311.40/767,744.70 = 393,116.20/x
  3. Step 3: Cross multiply
    511,311.40x = 767,744.70 × 393,116.20
  4. Step 4: Simplify right side
    511,311.40x = 301,812,879,034.14
  5. Step 5: Solve for x
    x = 301,812,879,034.14/511,311.40
  6. Step 6: Final answer
    x = 590,272.15

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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.