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Finding the Fourth Proportional to 386,034.12, 531,537.93 and 342,938.88

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Solution

The fourth proportional to 386,034.12, 531,537.93 and 342,938.88 is: 472,199.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,034.12 : 531,537.93 = 342,938.88 : x
  2. Step 2: Convert to fraction form
    386,034.12/531,537.93 = 342,938.88/x
  3. Step 3: Cross multiply
    386,034.12x = 531,537.93 × 342,938.88
  4. Step 4: Simplify right side
    386,034.12x = 182,285,022,391.72
  5. Step 5: Solve for x
    x = 182,285,022,391.72/386,034.12
  6. Step 6: Final answer
    x = 472,199.25

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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.