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Finding the Fourth Proportional to 380,810.82, 525,497.54 and 208,695.98

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Solution

The fourth proportional to 380,810.82, 525,497.54 and 208,695.98 is: 287,988.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,810.82 : 525,497.54 = 208,695.98 : x
  2. Step 2: Convert to fraction form
    380,810.82/525,497.54 = 208,695.98/x
  3. Step 3: Cross multiply
    380,810.82x = 525,497.54 × 208,695.98
  4. Step 4: Simplify right side
    380,810.82x = 109,669,225,933.37
  5. Step 5: Solve for x
    x = 109,669,225,933.37/380,810.82
  6. Step 6: Final answer
    x = 287,988.73

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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.