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Finding the Fourth Proportional to 557,108.96, 768,520.32 and 342,296.96

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Solution

The fourth proportional to 557,108.96, 768,520.32 and 342,296.96 is: 472,191.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,108.96 : 768,520.32 = 342,296.96 : x
  2. Step 2: Convert to fraction form
    557,108.96/768,520.32 = 342,296.96/x
  3. Step 3: Cross multiply
    557,108.96x = 768,520.32 × 342,296.96
  4. Step 4: Simplify right side
    557,108.96x = 263,062,169,234.23
  5. Step 5: Solve for x
    x = 263,062,169,234.23/557,108.96
  6. Step 6: Final answer
    x = 472,191.60

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1.5x scale

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.