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Finding the Fourth Proportional to 513,813.32, 770,509.26 and 153,857.37

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Solution

The fourth proportional to 513,813.32, 770,509.26 and 153,857.37 is: 230,722.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,813.32 : 770,509.26 = 153,857.37 : x
  2. Step 2: Convert to fraction form
    513,813.32/770,509.26 = 153,857.37/x
  3. Step 3: Cross multiply
    513,813.32x = 770,509.26 × 153,857.37
  4. Step 4: Simplify right side
    513,813.32x = 118,548,531,193.66
  5. Step 5: Solve for x
    x = 118,548,531,193.66/513,813.32
  6. Step 6: Final answer
    x = 230,722.96

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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.