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Finding the Fourth Proportional to 302,078.80, 416,764.92 and 187,316.20

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Solution

The fourth proportional to 302,078.80, 416,764.92 and 187,316.20 is: 258,431.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,078.80 : 416,764.92 = 187,316.20 : x
  2. Step 2: Convert to fraction form
    302,078.80/416,764.92 = 187,316.20/x
  3. Step 3: Cross multiply
    302,078.80x = 416,764.92 × 187,316.20
  4. Step 4: Simplify right side
    302,078.80x = 78,066,821,107.70
  5. Step 5: Solve for x
    x = 78,066,821,107.70/302,078.80
  6. Step 6: Final answer
    x = 258,431.98

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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.