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Finding the Fourth Proportional to 767,120.83, 1,148,978.80 and 496,378.44

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Solution

The fourth proportional to 767,120.83, 1,148,978.80 and 496,378.44 is: 743,466.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,120.83 : 1,148,978.80 = 496,378.44 : x
  2. Step 2: Convert to fraction form
    767,120.83/1,148,978.80 = 496,378.44/x
  3. Step 3: Cross multiply
    767,120.83x = 1,148,978.80 × 496,378.44
  4. Step 4: Simplify right side
    767,120.83x = 570,328,304,337.07
  5. Step 5: Solve for x
    x = 570,328,304,337.07/767,120.83
  6. Step 6: Final answer
    x = 743,466.06

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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.