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Finding the Fourth Proportional to 325,215.76, 487,823.64 and 214,381.84

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Solution

The fourth proportional to 325,215.76, 487,823.64 and 214,381.84 is: 321,572.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,215.76 : 487,823.64 = 214,381.84 : x
  2. Step 2: Convert to fraction form
    325,215.76/487,823.64 = 214,381.84/x
  3. Step 3: Cross multiply
    325,215.76x = 487,823.64 × 214,381.84
  4. Step 4: Simplify right side
    325,215.76x = 104,580,529,538.70
  5. Step 5: Solve for x
    x = 104,580,529,538.70/325,215.76
  6. Step 6: Final answer
    x = 321,572.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.