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Finding the Fourth Proportional to 380,452.36, 525,040.76 and 210,686.48

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Solution

The fourth proportional to 380,452.36, 525,040.76 and 210,686.48 is: 290,756.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,452.36 : 525,040.76 = 210,686.48 : x
  2. Step 2: Convert to fraction form
    380,452.36/525,040.76 = 210,686.48/x
  3. Step 3: Cross multiply
    380,452.36x = 525,040.76 × 210,686.48
  4. Step 4: Simplify right side
    380,452.36x = 110,618,991,812.14
  5. Step 5: Solve for x
    x = 110,618,991,812.14/380,452.36
  6. Step 6: Final answer
    x = 290,756.49

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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.