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Finding the Fourth Proportional to 380,090.30, 524,502.88 and 210,314.30

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Solution

The fourth proportional to 380,090.30, 524,502.88 and 210,314.30 is: 290,221.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,090.30 : 524,502.88 = 210,314.30 : x
  2. Step 2: Convert to fraction form
    380,090.30/524,502.88 = 210,314.30/x
  3. Step 3: Cross multiply
    380,090.30x = 524,502.88 × 210,314.30
  4. Step 4: Simplify right side
    380,090.30x = 110,310,452,906.88
  5. Step 5: Solve for x
    x = 110,310,452,906.88/380,090.30
  6. Step 6: Final answer
    x = 290,221.70

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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.