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Finding the Fourth Proportional to 380,534.49, 525,189.02 and 219,386.61

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Solution

The fourth proportional to 380,534.49, 525,189.02 and 219,386.61 is: 302,783.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,534.49 : 525,189.02 = 219,386.61 : x
  2. Step 2: Convert to fraction form
    380,534.49/525,189.02 = 219,386.61/x
  3. Step 3: Cross multiply
    380,534.49x = 525,189.02 × 219,386.61
  4. Step 4: Simplify right side
    380,534.49x = 115,219,437,610.09
  5. Step 5: Solve for x
    x = 115,219,437,610.09/380,534.49
  6. Step 6: Final answer
    x = 302,783.17

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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.