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Finding the Fourth Proportional to 383,859.76, 529,727.40 and 214,104.88

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Solution

The fourth proportional to 383,859.76, 529,727.40 and 214,104.88 is: 295,465.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,859.76 : 529,727.40 = 214,104.88 : x
  2. Step 2: Convert to fraction form
    383,859.76/529,727.40 = 214,104.88/x
  3. Step 3: Cross multiply
    383,859.76x = 529,727.40 × 214,104.88
  4. Step 4: Simplify right side
    383,859.76x = 113,417,221,409.71
  5. Step 5: Solve for x
    x = 113,417,221,409.71/383,859.76
  6. Step 6: Final answer
    x = 295,465.25

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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.