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Finding the Fourth Proportional to 380,967.89, 525,752.30 and 227,976.98

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Solution

The fourth proportional to 380,967.89, 525,752.30 and 227,976.98 is: 314,618.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,967.89 : 525,752.30 = 227,976.98 : x
  2. Step 2: Convert to fraction form
    380,967.89/525,752.30 = 227,976.98/x
  3. Step 3: Cross multiply
    380,967.89x = 525,752.30 × 227,976.98
  4. Step 4: Simplify right side
    380,967.89x = 119,859,421,582.05
  5. Step 5: Solve for x
    x = 119,859,421,582.05/380,967.89
  6. Step 6: Final answer
    x = 314,618.17

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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.