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Finding the Fourth Proportional to 380,571.87, 525,166.65 and 208,455.51

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Solution

The fourth proportional to 380,571.87, 525,166.65 and 208,455.51 is: 287,656.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,571.87 : 525,166.65 = 208,455.51 : x
  2. Step 2: Convert to fraction form
    380,571.87/525,166.65 = 208,455.51/x
  3. Step 3: Cross multiply
    380,571.87x = 525,166.65 × 208,455.51
  4. Step 4: Simplify right side
    380,571.87x = 109,473,881,860.74
  5. Step 5: Solve for x
    x = 109,473,881,860.74/380,571.87
  6. Step 6: Final answer
    x = 287,656.26

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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.