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Finding the Fourth Proportional to 380,518.57, 525,109.88 and 208,435.16

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Solution

The fourth proportional to 380,518.57, 525,109.88 and 208,435.16 is: 287,637.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,518.57 : 525,109.88 = 208,435.16 : x
  2. Step 2: Convert to fraction form
    380,518.57/525,109.88 = 208,435.16/x
  3. Step 3: Cross multiply
    380,518.57x = 525,109.88 × 208,435.16
  4. Step 4: Simplify right side
    380,518.57x = 109,451,361,855.38
  5. Step 5: Solve for x
    x = 109,451,361,855.38/380,518.57
  6. Step 6: Final answer
    x = 287,637.37

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1.5x scale

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.