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Finding the Fourth Proportional to 380,257.60, 524,706.24 and 210,481.60

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Solution

The fourth proportional to 380,257.60, 524,706.24 and 210,481.60 is: 290,437.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,257.60 : 524,706.24 = 210,481.60 : x
  2. Step 2: Convert to fraction form
    380,257.60/524,706.24 = 210,481.60/x
  3. Step 3: Cross multiply
    380,257.60x = 524,706.24 × 210,481.60
  4. Step 4: Simplify right side
    380,257.60x = 110,441,008,925.18
  5. Step 5: Solve for x
    x = 110,441,008,925.18/380,257.60
  6. Step 6: Final answer
    x = 290,437.35

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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.