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Finding the Fourth Proportional to 379,953, 524,289.78 and 210,164.04

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Solution

The fourth proportional to 379,953, 524,289.78 and 210,164.04 is: 290,001.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,953 : 524,289.78 = 210,164.04 : x
  2. Step 2: Convert to fraction form
    379,953/524,289.78 = 210,164.04/x
  3. Step 3: Cross multiply
    379,953x = 524,289.78 × 210,164.04
  4. Step 4: Simplify right side
    379,953x = 110,186,858,295.51
  5. Step 5: Solve for x
    x = 110,186,858,295.51/379,953
  6. Step 6: Final answer
    x = 290,001.29

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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.