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Finding the Fourth Proportional to 842,778, 1,163,054.70 and 511,637.94

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Solution

The fourth proportional to 842,778, 1,163,054.70 and 511,637.94 is: 706,073.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,778 : 1,163,054.70 = 511,637.94 : x
  2. Step 2: Convert to fraction form
    842,778/1,163,054.70 = 511,637.94/x
  3. Step 3: Cross multiply
    842,778x = 1,163,054.70 × 511,637.94
  4. Step 4: Simplify right side
    842,778x = 595,062,910,815.32
  5. Step 5: Solve for x
    x = 595,062,910,815.32/842,778
  6. Step 6: Final answer
    x = 706,073.14

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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.