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Finding the Fourth Proportional to 557,116.25, 768,812.85 and 315,392.54

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Solution

The fourth proportional to 557,116.25, 768,812.85 and 315,392.54 is: 435,237.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,116.25 : 768,812.85 = 315,392.54 : x
  2. Step 2: Convert to fraction form
    557,116.25/768,812.85 = 315,392.54/x
  3. Step 3: Cross multiply
    557,116.25x = 768,812.85 × 315,392.54
  4. Step 4: Simplify right side
    557,116.25x = 242,477,833,702.08
  5. Step 5: Solve for x
    x = 242,477,833,702.08/557,116.25
  6. Step 6: Final answer
    x = 435,237.41

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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.