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Finding the Fourth Proportional to 570,289.72, 855,520.98 and 413,699.80

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Solution

The fourth proportional to 570,289.72, 855,520.98 and 413,699.80 is: 620,612.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,289.72 : 855,520.98 = 413,699.80 : x
  2. Step 2: Convert to fraction form
    570,289.72/855,520.98 = 413,699.80/x
  3. Step 3: Cross multiply
    570,289.72x = 855,520.98 × 413,699.80
  4. Step 4: Simplify right side
    570,289.72x = 353,928,858,321.80
  5. Step 5: Solve for x
    x = 353,928,858,321.80/570,289.72
  6. Step 6: Final answer
    x = 620,612.38

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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.