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Finding the Fourth Proportional to 341,660, 511,848.48 and 315,882.56

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Solution

The fourth proportional to 341,660, 511,848.48 and 315,882.56 is: 473,230.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,660 : 511,848.48 = 315,882.56 : x
  2. Step 2: Convert to fraction form
    341,660/511,848.48 = 315,882.56/x
  3. Step 3: Cross multiply
    341,660x = 511,848.48 × 315,882.56
  4. Step 4: Simplify right side
    341,660x = 161,684,008,194.51
  5. Step 5: Solve for x
    x = 161,684,008,194.51/341,660
  6. Step 6: Final answer
    x = 473,230.72

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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.