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Finding the Fourth Proportional to 713,838.78, 985,097.46 and 412,032.78

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Solution

The fourth proportional to 713,838.78, 985,097.46 and 412,032.78 is: 568,605.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,838.78 : 985,097.46 = 412,032.78 : x
  2. Step 2: Convert to fraction form
    713,838.78/985,097.46 = 412,032.78/x
  3. Step 3: Cross multiply
    713,838.78x = 985,097.46 × 412,032.78
  4. Step 4: Simplify right side
    713,838.78x = 405,892,445,014.74
  5. Step 5: Solve for x
    x = 405,892,445,014.74/713,838.78
  6. Step 6: Final answer
    x = 568,605.20

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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.