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Finding the Fourth Proportional to 380,555, 525,165.90 and 210,800.12

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Solution

The fourth proportional to 380,555, 525,165.90 and 210,800.12 is: 290,904.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,555 : 525,165.90 = 210,800.12 : x
  2. Step 2: Convert to fraction form
    380,555/525,165.90 = 210,800.12/x
  3. Step 3: Cross multiply
    380,555x = 525,165.90 × 210,800.12
  4. Step 4: Simplify right side
    380,555x = 110,705,034,739.91
  5. Step 5: Solve for x
    x = 110,705,034,739.91/380,555
  6. Step 6: Final answer
    x = 290,904.17

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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.