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Finding the Fourth Proportional to 511,689.05, 706,325.43 and 384,733.43

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Solution

The fourth proportional to 511,689.05, 706,325.43 and 384,733.43 is: 531,078.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,689.05 : 706,325.43 = 384,733.43 : x
  2. Step 2: Convert to fraction form
    511,689.05/706,325.43 = 384,733.43/x
  3. Step 3: Cross multiply
    511,689.05x = 706,325.43 × 384,733.43
  4. Step 4: Simplify right side
    511,689.05x = 271,747,001,848.50
  5. Step 5: Solve for x
    x = 271,747,001,848.50/511,689.05
  6. Step 6: Final answer
    x = 531,078.40

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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.