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Finding the Fourth Proportional to 418,091.80, 577,206.06 and 275,267

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Solution

The fourth proportional to 418,091.80, 577,206.06 and 275,267 is: 380,026.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,091.80 : 577,206.06 = 275,267 : x
  2. Step 2: Convert to fraction form
    418,091.80/577,206.06 = 275,267/x
  3. Step 3: Cross multiply
    418,091.80x = 577,206.06 × 275,267
  4. Step 4: Simplify right side
    418,091.80x = 158,885,780,518.02
  5. Step 5: Solve for x
    x = 158,885,780,518.02/418,091.80
  6. Step 6: Final answer
    x = 380,026.06

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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.