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Finding the Fourth Proportional to 380,812.86, 525,527.53 and 208,729.51

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Solution

The fourth proportional to 380,812.86, 525,527.53 and 208,729.51 is: 288,049.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,812.86 : 525,527.53 = 208,729.51 : x
  2. Step 2: Convert to fraction form
    380,812.86/525,527.53 = 208,729.51/x
  3. Step 3: Cross multiply
    380,812.86x = 525,527.53 × 208,729.51
  4. Step 4: Simplify right side
    380,812.86x = 109,693,101,992.77
  5. Step 5: Solve for x
    x = 109,693,101,992.77/380,812.86
  6. Step 6: Final answer
    x = 288,049.89

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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.