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Finding the Fourth Proportional to 378,325.14, 522,085.26 and 208,559.26

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Solution

The fourth proportional to 378,325.14, 522,085.26 and 208,559.26 is: 287,809.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,325.14 : 522,085.26 = 208,559.26 : x
  2. Step 2: Convert to fraction form
    378,325.14/522,085.26 = 208,559.26/x
  3. Step 3: Cross multiply
    378,325.14x = 522,085.26 × 208,559.26
  4. Step 4: Simplify right side
    378,325.14x = 108,885,715,482.51
  5. Step 5: Solve for x
    x = 108,885,715,482.51/378,325.14
  6. Step 6: Final answer
    x = 287,809.89

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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.