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Finding the Fourth Proportional to 275,826, 380,656.08 and 207,722.76

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Solution

The fourth proportional to 275,826, 380,656.08 and 207,722.76 is: 286,669.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,826 : 380,656.08 = 207,722.76 : x
  2. Step 2: Convert to fraction form
    275,826/380,656.08 = 207,722.76/x
  3. Step 3: Cross multiply
    275,826x = 380,656.08 × 207,722.76
  4. Step 4: Simplify right side
    275,826x = 79,070,931,548.38
  5. Step 5: Solve for x
    x = 79,070,931,548.38/275,826
  6. Step 6: Final answer
    x = 286,669.61

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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.