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Finding the Fourth Proportional to 511,635.88, 706,334.33 and 307,732.32

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Solution

The fourth proportional to 511,635.88, 706,334.33 and 307,732.32 is: 424,837.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,635.88 : 706,334.33 = 307,732.32 : x
  2. Step 2: Convert to fraction form
    511,635.88/706,334.33 = 307,732.32/x
  3. Step 3: Cross multiply
    511,635.88x = 706,334.33 × 307,732.32
  4. Step 4: Simplify right side
    511,635.88x = 217,361,902,066.55
  5. Step 5: Solve for x
    x = 217,361,902,066.55/511,635.88
  6. Step 6: Final answer
    x = 424,837.10

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1.5x scale

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.