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Finding the Fourth Proportional to 516,115.80, 772,642.80 and 383,583.60

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Solution

The fourth proportional to 516,115.80, 772,642.80 and 383,583.60 is: 574,237.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,115.80 : 772,642.80 = 383,583.60 : x
  2. Step 2: Convert to fraction form
    516,115.80/772,642.80 = 383,583.60/x
  3. Step 3: Cross multiply
    516,115.80x = 772,642.80 × 383,583.60
  4. Step 4: Simplify right side
    516,115.80x = 296,373,106,738.08
  5. Step 5: Solve for x
    x = 296,373,106,738.08/516,115.80
  6. Step 6: Final answer
    x = 574,237.62

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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.