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Finding the Fourth Proportional to 380,723.34, 525,398.13 and 227,768.01

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Solution

The fourth proportional to 380,723.34, 525,398.13 and 227,768.01 is: 314,319.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,723.34 : 525,398.13 = 227,768.01 : x
  2. Step 2: Convert to fraction form
    380,723.34/525,398.13 = 227,768.01/x
  3. Step 3: Cross multiply
    380,723.34x = 525,398.13 × 227,768.01
  4. Step 4: Simplify right side
    380,723.34x = 119,668,886,527.82
  5. Step 5: Solve for x
    x = 119,668,886,527.82/380,723.34
  6. Step 6: Final answer
    x = 314,319.81

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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.