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Finding the Fourth Proportional to 378,307.90, 522,068.45 and 208,548.10

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Solution

The fourth proportional to 378,307.90, 522,068.45 and 208,548.10 is: 287,798.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,307.90 : 522,068.45 = 208,548.10 : x
  2. Step 2: Convert to fraction form
    378,307.90/522,068.45 = 208,548.10/x
  3. Step 3: Cross multiply
    378,307.90x = 522,068.45 × 208,548.10
  4. Step 4: Simplify right side
    378,307.90x = 108,876,383,317.45
  5. Step 5: Solve for x
    x = 108,876,383,317.45/378,307.90
  6. Step 6: Final answer
    x = 287,798.33

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1.5x scale

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.