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Finding the Fourth Proportional to 788,778, 1,182,693.42 and 361,778.94

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Solution

The fourth proportional to 788,778, 1,182,693.42 and 361,778.94 is: 542,451.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,778 : 1,182,693.42 = 361,778.94 : x
  2. Step 2: Convert to fraction form
    788,778/1,182,693.42 = 361,778.94/x
  3. Step 3: Cross multiply
    788,778x = 1,182,693.42 × 361,778.94
  4. Step 4: Simplify right side
    788,778x = 427,873,571,832.58
  5. Step 5: Solve for x
    x = 427,873,571,832.58/788,778
  6. Step 6: Final answer
    x = 542,451.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.