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Finding the Fourth Proportional to 380,722.55, 525,397.74 and 208,613.17

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Solution

The fourth proportional to 380,722.55, 525,397.74 and 208,613.17 is: 287,886.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,722.55 : 525,397.74 = 208,613.17 : x
  2. Step 2: Convert to fraction form
    380,722.55/525,397.74 = 208,613.17/x
  3. Step 3: Cross multiply
    380,722.55x = 525,397.74 × 208,613.17
  4. Step 4: Simplify right side
    380,722.55x = 109,604,888,052.24
  5. Step 5: Solve for x
    x = 109,604,888,052.24/380,722.55
  6. Step 6: Final answer
    x = 287,886.51

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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.