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Finding the Fourth Proportional to 378,307.40, 522,067.76 and 208,547.60

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Solution

The fourth proportional to 378,307.40, 522,067.76 and 208,547.60 is: 287,797.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,307.40 : 522,067.76 = 208,547.60 : x
  2. Step 2: Convert to fraction form
    378,307.40/522,067.76 = 208,547.60/x
  3. Step 3: Cross multiply
    378,307.40x = 522,067.76 × 208,547.60
  4. Step 4: Simplify right side
    378,307.40x = 108,875,978,385.38
  5. Step 5: Solve for x
    x = 108,875,978,385.38/378,307.40
  6. Step 6: Final answer
    x = 287,797.64

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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.