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Finding the Fourth Proportional to 341,656, 511,842.48 and 315,878.56

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Solution

The fourth proportional to 341,656, 511,842.48 and 315,878.56 is: 473,224.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,656 : 511,842.48 = 315,878.56 : x
  2. Step 2: Convert to fraction form
    341,656/511,842.48 = 315,878.56/x
  3. Step 3: Cross multiply
    341,656x = 511,842.48 × 315,878.56
  4. Step 4: Simplify right side
    341,656x = 161,680,065,529.23
  5. Step 5: Solve for x
    x = 161,680,065,529.23/341,656
  6. Step 6: Final answer
    x = 473,224.72

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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.