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Finding the Fourth Proportional to 380,659.50, 525,327.32 and 210,893.63

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Solution

The fourth proportional to 380,659.50, 525,327.32 and 210,893.63 is: 291,042.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,659.50 : 525,327.32 = 210,893.63 : x
  2. Step 2: Convert to fraction form
    380,659.50/525,327.32 = 210,893.63/x
  3. Step 3: Cross multiply
    380,659.50x = 525,327.32 × 210,893.63
  4. Step 4: Simplify right side
    380,659.50x = 110,788,183,353.57
  5. Step 5: Solve for x
    x = 110,788,183,353.57/380,659.50
  6. Step 6: Final answer
    x = 291,042.74

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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.