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Finding the Fourth Proportional to 380,643.64, 525,310.25 and 208,561.94

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Solution

The fourth proportional to 380,643.64, 525,310.25 and 208,561.94 is: 287,827.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,643.64 : 525,310.25 = 208,561.94 : x
  2. Step 2: Convert to fraction form
    380,643.64/525,310.25 = 208,561.94/x
  3. Step 3: Cross multiply
    380,643.64x = 525,310.25 × 208,561.94
  4. Step 4: Simplify right side
    380,643.64x = 109,559,724,902.18
  5. Step 5: Solve for x
    x = 109,559,724,902.18/380,643.64
  6. Step 6: Final answer
    x = 287,827.55

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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.