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Finding the Fourth Proportional to 380,863.17, 525,583.67 and 208,781.51

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Solution

The fourth proportional to 380,863.17, 525,583.67 and 208,781.51 is: 288,114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,863.17 : 525,583.67 = 208,781.51 : x
  2. Step 2: Convert to fraction form
    380,863.17/525,583.67 = 208,781.51/x
  3. Step 3: Cross multiply
    380,863.17x = 525,583.67 × 208,781.51
  4. Step 4: Simplify right side
    380,863.17x = 109,732,148,582.12
  5. Step 5: Solve for x
    x = 109,732,148,582.12/380,863.17
  6. Step 6: Final answer
    x = 288,114.36

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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.