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Finding the Fourth Proportional to 557,102.97, 768,811.20 and 315,379.35

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Solution

The fourth proportional to 557,102.97, 768,811.20 and 315,379.35 is: 435,228.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,102.97 : 768,811.20 = 315,379.35 : x
  2. Step 2: Convert to fraction form
    557,102.97/768,811.20 = 315,379.35/x
  3. Step 3: Cross multiply
    557,102.97x = 768,811.20 × 315,379.35
  4. Step 4: Simplify right side
    557,102.97x = 242,467,176,528.72
  5. Step 5: Solve for x
    x = 242,467,176,528.72/557,102.97
  6. Step 6: Final answer
    x = 435,228.66

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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.