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Finding the Fourth Proportional to 557,109.96, 768,521.70 and 342,297.96

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Solution

The fourth proportional to 557,109.96, 768,521.70 and 342,297.96 is: 472,192.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,109.96 : 768,521.70 = 342,297.96 : x
  2. Step 2: Convert to fraction form
    557,109.96/768,521.70 = 342,297.96/x
  3. Step 3: Cross multiply
    557,109.96x = 768,521.70 × 342,297.96
  4. Step 4: Simplify right side
    557,109.96x = 263,063,410,125.73
  5. Step 5: Solve for x
    x = 263,063,410,125.73/557,109.96
  6. Step 6: Final answer
    x = 472,192.98

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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.