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Finding the Fourth Proportional to 380,818.50, 525,529.53 and 211,078.14

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Solution

The fourth proportional to 380,818.50, 525,529.53 and 211,078.14 is: 291,287.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,818.50 : 525,529.53 = 211,078.14 : x
  2. Step 2: Convert to fraction form
    380,818.50/525,529.53 = 211,078.14/x
  3. Step 3: Cross multiply
    380,818.50x = 525,529.53 × 211,078.14
  4. Step 4: Simplify right side
    380,818.50x = 110,927,795,707.47
  5. Step 5: Solve for x
    x = 110,927,795,707.47/380,818.50
  6. Step 6: Final answer
    x = 291,287.83

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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.