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Finding the Fourth Proportional to 380,718.93, 525,392.74 and 208,609.55

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Solution

The fourth proportional to 380,718.93, 525,392.74 and 208,609.55 is: 287,881.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,718.93 : 525,392.74 = 208,609.55 : x
  2. Step 2: Convert to fraction form
    380,718.93/525,392.74 = 208,609.55/x
  3. Step 3: Cross multiply
    380,718.93x = 525,392.74 × 208,609.55
  4. Step 4: Simplify right side
    380,718.93x = 109,601,939,394.66
  5. Step 5: Solve for x
    x = 109,601,939,394.66/380,718.93
  6. Step 6: Final answer
    x = 287,881.51

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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.