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Finding the Fourth Proportional to 570,400.13, 855,323.40 and 285,968.48

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Solution

The fourth proportional to 570,400.13, 855,323.40 and 285,968.48 is: 428,813.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,400.13 : 855,323.40 = 285,968.48 : x
  2. Step 2: Convert to fraction form
    570,400.13/855,323.40 = 285,968.48/x
  3. Step 3: Cross multiply
    570,400.13x = 855,323.40 × 285,968.48
  4. Step 4: Simplify right side
    570,400.13x = 244,595,527,793.62
  5. Step 5: Solve for x
    x = 244,595,527,793.62/570,400.13
  6. Step 6: Final answer
    x = 428,813.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.