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Finding the Fourth Proportional to 705,297.77, 973,975.20 and 491,023.73

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Solution

The fourth proportional to 705,297.77, 973,975.20 and 491,023.73 is: 678,075.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,297.77 : 973,975.20 = 491,023.73 : x
  2. Step 2: Convert to fraction form
    705,297.77/973,975.20 = 491,023.73/x
  3. Step 3: Cross multiply
    705,297.77x = 973,975.20 × 491,023.73
  4. Step 4: Simplify right side
    705,297.77x = 478,244,928,306.50
  5. Step 5: Solve for x
    x = 478,244,928,306.50/705,297.77
  6. Step 6: Final answer
    x = 678,075.21

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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.