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Finding the Fourth Proportional to 380,817.54, 525,525 and 208,745.10

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Solution

The fourth proportional to 380,817.54, 525,525 and 208,745.10 is: 288,066.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,817.54 : 525,525 = 208,745.10 : x
  2. Step 2: Convert to fraction form
    380,817.54/525,525 = 208,745.10/x
  3. Step 3: Cross multiply
    380,817.54x = 525,525 × 208,745.10
  4. Step 4: Simplify right side
    380,817.54x = 109,700,768,677.50
  5. Step 5: Solve for x
    x = 109,700,768,677.50/380,817.54
  6. Step 6: Final answer
    x = 288,066.48

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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.