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Finding the Fourth Proportional to 511,672.72, 706,111.12 and 282,238.06

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Solution

The fourth proportional to 511,672.72, 706,111.12 and 282,238.06 is: 389,490.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,672.72 : 706,111.12 = 282,238.06 : x
  2. Step 2: Convert to fraction form
    511,672.72/706,111.12 = 282,238.06/x
  3. Step 3: Cross multiply
    511,672.72x = 706,111.12 × 282,238.06
  4. Step 4: Simplify right side
    511,672.72x = 199,291,432,653.23
  5. Step 5: Solve for x
    x = 199,291,432,653.23/511,672.72
  6. Step 6: Final answer
    x = 389,490.05

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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.