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Finding the Fourth Proportional to 511,830.49, 706,552.56 and 330,630.76

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Solution

The fourth proportional to 511,830.49, 706,552.56 and 330,630.76 is: 456,416.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,830.49 : 706,552.56 = 330,630.76 : x
  2. Step 2: Convert to fraction form
    511,830.49/706,552.56 = 330,630.76/x
  3. Step 3: Cross multiply
    511,830.49x = 706,552.56 × 330,630.76
  4. Step 4: Simplify right side
    511,830.49x = 233,608,008,126.36
  5. Step 5: Solve for x
    x = 233,608,008,126.36/511,830.49
  6. Step 6: Final answer
    x = 456,416.75

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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.