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Finding the Fourth Proportional to 380,600.64, 525,206.16 and 210,822.48

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Solution

The fourth proportional to 380,600.64, 525,206.16 and 210,822.48 is: 290,922.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,600.64 : 525,206.16 = 210,822.48 : x
  2. Step 2: Convert to fraction form
    380,600.64/525,206.16 = 210,822.48/x
  3. Step 3: Cross multiply
    380,600.64x = 525,206.16 × 210,822.48
  4. Step 4: Simplify right side
    380,600.64x = 110,725,265,162.48
  5. Step 5: Solve for x
    x = 110,725,265,162.48/380,600.64
  6. Step 6: Final answer
    x = 290,922.44

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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.