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Finding the Fourth Proportional to 380,499.66, 525,110.04 and 210,735

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Solution

The fourth proportional to 380,499.66, 525,110.04 and 210,735 is: 290,825.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,499.66 : 525,110.04 = 210,735 : x
  2. Step 2: Convert to fraction form
    380,499.66/525,110.04 = 210,735/x
  3. Step 3: Cross multiply
    380,499.66x = 525,110.04 × 210,735
  4. Step 4: Simplify right side
    380,499.66x = 110,659,064,279.40
  5. Step 5: Solve for x
    x = 110,659,064,279.40/380,499.66
  6. Step 6: Final answer
    x = 290,825.66

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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.