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Finding the Fourth Proportional to 378,515.83, 566,069.51 and 336,642.07

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Solution

The fourth proportional to 378,515.83, 566,069.51 and 336,642.07 is: 503,447.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,515.83 : 566,069.51 = 336,642.07 : x
  2. Step 2: Convert to fraction form
    378,515.83/566,069.51 = 336,642.07/x
  3. Step 3: Cross multiply
    378,515.83x = 566,069.51 × 336,642.07
  4. Step 4: Simplify right side
    378,515.83x = 190,562,809,927.08
  5. Step 5: Solve for x
    x = 190,562,809,927.08/378,515.83
  6. Step 6: Final answer
    x = 503,447.40

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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.