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Finding the Fourth Proportional to 513,896.75, 770,918.97 and 158,938.45

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Solution

The fourth proportional to 513,896.75, 770,918.97 and 158,938.45 is: 238,430.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,896.75 : 770,918.97 = 158,938.45 : x
  2. Step 2: Convert to fraction form
    513,896.75/770,918.97 = 158,938.45/x
  3. Step 3: Cross multiply
    513,896.75x = 770,918.97 × 158,938.45
  4. Step 4: Simplify right side
    513,896.75x = 122,528,668,278.51
  5. Step 5: Solve for x
    x = 122,528,668,278.51/513,896.75
  6. Step 6: Final answer
    x = 238,430.52

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1.5x scale

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.