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Finding the Fourth Proportional to 557,118.63, 768,823.70 and 302,469.84

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Solution

The fourth proportional to 557,118.63, 768,823.70 and 302,469.84 is: 417,408.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,118.63 : 768,823.70 = 302,469.84 : x
  2. Step 2: Convert to fraction form
    557,118.63/768,823.70 = 302,469.84/x
  3. Step 3: Cross multiply
    557,118.63x = 768,823.70 × 302,469.84
  4. Step 4: Simplify right side
    557,118.63x = 232,545,980,014.86
  5. Step 5: Solve for x
    x = 232,545,980,014.86/557,118.63
  6. Step 6: Final answer
    x = 417,408.37

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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.