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Finding the Fourth Proportional to 380,462.12, 525,053.52 and 210,696.32

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Solution

The fourth proportional to 380,462.12, 525,053.52 and 210,696.32 is: 290,769.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,462.12 : 525,053.52 = 210,696.32 : x
  2. Step 2: Convert to fraction form
    380,462.12/525,053.52 = 210,696.32/x
  3. Step 3: Cross multiply
    380,462.12x = 525,053.52 × 210,696.32
  4. Step 4: Simplify right side
    380,462.12x = 110,626,844,467.05
  5. Step 5: Solve for x
    x = 110,626,844,467.05/380,462.12
  6. Step 6: Final answer
    x = 290,769.67

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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.