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Finding the Fourth Proportional to 340,905.51, 511,673.76 and 172,544.07

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Solution

The fourth proportional to 340,905.51, 511,673.76 and 172,544.07 is: 258,975.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,905.51 : 511,673.76 = 172,544.07 : x
  2. Step 2: Convert to fraction form
    340,905.51/511,673.76 = 172,544.07/x
  3. Step 3: Cross multiply
    340,905.51x = 511,673.76 × 172,544.07
  4. Step 4: Simplify right side
    340,905.51x = 88,286,274,981.38
  5. Step 5: Solve for x
    x = 88,286,274,981.38/340,905.51
  6. Step 6: Final answer
    x = 258,975.79

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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.