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Finding the Fourth Proportional to 380,396.56, 524,947.24 and 210,630.64

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Solution

The fourth proportional to 380,396.56, 524,947.24 and 210,630.64 is: 290,670.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,396.56 : 524,947.24 = 210,630.64 : x
  2. Step 2: Convert to fraction form
    380,396.56/524,947.24 = 210,630.64/x
  3. Step 3: Cross multiply
    380,396.56x = 524,947.24 × 210,630.64
  4. Step 4: Simplify right side
    380,396.56x = 110,569,973,127.43
  5. Step 5: Solve for x
    x = 110,569,973,127.43/380,396.56
  6. Step 6: Final answer
    x = 290,670.28

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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.