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Finding the Fourth Proportional to 713,658.78, 1,070,383.59 and 208,083.96

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Solution

The fourth proportional to 713,658.78, 1,070,383.59 and 208,083.96 is: 312,095.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,658.78 : 1,070,383.59 = 208,083.96 : x
  2. Step 2: Convert to fraction form
    713,658.78/1,070,383.59 = 208,083.96/x
  3. Step 3: Cross multiply
    713,658.78x = 1,070,383.59 × 208,083.96
  4. Step 4: Simplify right side
    713,658.78x = 222,729,656,126.22
  5. Step 5: Solve for x
    x = 222,729,656,126.22/713,658.78
  6. Step 6: Final answer
    x = 312,095.45

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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.