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Finding the Fourth Proportional to 490,734.72, 677,214 and 275,875.20

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Solution

The fourth proportional to 490,734.72, 677,214 and 275,875.20 is: 380,707.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,734.72 : 677,214 = 275,875.20 : x
  2. Step 2: Convert to fraction form
    490,734.72/677,214 = 275,875.20/x
  3. Step 3: Cross multiply
    490,734.72x = 677,214 × 275,875.20
  4. Step 4: Simplify right side
    490,734.72x = 186,826,547,692.80
  5. Step 5: Solve for x
    x = 186,826,547,692.80/490,734.72
  6. Step 6: Final answer
    x = 380,707.82

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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.