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Finding the Fourth Proportional to 380,804.25, 525,509.88 and 211,049.31

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Solution

The fourth proportional to 380,804.25, 525,509.88 and 211,049.31 is: 291,248.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,804.25 : 525,509.88 = 211,049.31 : x
  2. Step 2: Convert to fraction form
    380,804.25/525,509.88 = 211,049.31/x
  3. Step 3: Cross multiply
    380,804.25x = 525,509.88 × 211,049.31
  4. Step 4: Simplify right side
    380,804.25x = 110,908,497,572.18
  5. Step 5: Solve for x
    x = 110,908,497,572.18/380,804.25
  6. Step 6: Final answer
    x = 291,248.06

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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.