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Finding the Fourth Proportional to 380,932.98, 525,693.44 and 208,866.66

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Solution

The fourth proportional to 380,932.98, 525,693.44 and 208,866.66 is: 288,239.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,932.98 : 525,693.44 = 208,866.66 : x
  2. Step 2: Convert to fraction form
    380,932.98/525,693.44 = 208,866.66/x
  3. Step 3: Cross multiply
    380,932.98x = 525,693.44 × 208,866.66
  4. Step 4: Simplify right side
    380,932.98x = 109,799,832,996.71
  5. Step 5: Solve for x
    x = 109,799,832,996.71/380,932.98
  6. Step 6: Final answer
    x = 288,239.24

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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.