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Finding the Fourth Proportional to 343,098.59, 472,497.32 and 308,815.07

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Solution

The fourth proportional to 343,098.59, 472,497.32 and 308,815.07 is: 425,283.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,098.59 : 472,497.32 = 308,815.07 : x
  2. Step 2: Convert to fraction form
    343,098.59/472,497.32 = 308,815.07/x
  3. Step 3: Cross multiply
    343,098.59x = 472,497.32 × 308,815.07
  4. Step 4: Simplify right side
    343,098.59x = 145,914,291,406.54
  5. Step 5: Solve for x
    x = 145,914,291,406.54/343,098.59
  6. Step 6: Final answer
    x = 425,283.86

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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.