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Finding the Fourth Proportional to 380,718.65, 525,446.91 and 219,541.61

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Solution

The fourth proportional to 380,718.65, 525,446.91 and 219,541.61 is: 302,999.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,718.65 : 525,446.91 = 219,541.61 : x
  2. Step 2: Convert to fraction form
    380,718.65/525,446.91 = 219,541.61/x
  3. Step 3: Cross multiply
    380,718.65x = 525,446.91 × 219,541.61
  4. Step 4: Simplify right side
    380,718.65x = 115,357,457,963.69
  5. Step 5: Solve for x
    x = 115,357,457,963.69/380,718.65
  6. Step 6: Final answer
    x = 302,999.23

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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.