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Finding the Fourth Proportional to 557,068.75, 768,764.19 and 302,419.94

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Solution

The fourth proportional to 557,068.75, 768,764.19 and 302,419.94 is: 417,344.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,068.75 : 768,764.19 = 302,419.94 : x
  2. Step 2: Convert to fraction form
    557,068.75/768,764.19 = 302,419.94/x
  3. Step 3: Cross multiply
    557,068.75x = 768,764.19 × 302,419.94
  4. Step 4: Simplify right side
    557,068.75x = 232,489,620,213.95
  5. Step 5: Solve for x
    x = 232,489,620,213.95/557,068.75
  6. Step 6: Final answer
    x = 417,344.57

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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.