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Finding the Fourth Proportional to 380,817, 525,527.46 and 211,076.64

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Solution

The fourth proportional to 380,817, 525,527.46 and 211,076.64 is: 291,285.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,817 : 525,527.46 = 211,076.64 : x
  2. Step 2: Convert to fraction form
    380,817/525,527.46 = 211,076.64/x
  3. Step 3: Cross multiply
    380,817x = 525,527.46 × 211,076.64
  4. Step 4: Simplify right side
    380,817x = 110,926,570,484.53
  5. Step 5: Solve for x
    x = 110,926,570,484.53/380,817
  6. Step 6: Final answer
    x = 291,285.76

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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.