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Finding the Fourth Proportional to 380,655.44, 525,311.19 and 208,562.13

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Solution

The fourth proportional to 380,655.44, 525,311.19 and 208,562.13 is: 287,819.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,655.44 : 525,311.19 = 208,562.13 : x
  2. Step 2: Convert to fraction form
    380,655.44/525,311.19 = 208,562.13/x
  3. Step 3: Cross multiply
    380,655.44x = 525,311.19 × 208,562.13
  4. Step 4: Simplify right side
    380,655.44x = 109,560,020,699.24
  5. Step 5: Solve for x
    x = 109,560,020,699.24/380,655.44
  6. Step 6: Final answer
    x = 287,819.40

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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.