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Finding the Fourth Proportional to 302,059.80, 416,738.79 and 187,297.13

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Solution

The fourth proportional to 302,059.80, 416,738.79 and 187,297.13 is: 258,405.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,059.80 : 416,738.79 = 187,297.13 : x
  2. Step 2: Convert to fraction form
    302,059.80/416,738.79 = 187,297.13/x
  3. Step 3: Cross multiply
    302,059.80x = 416,738.79 × 187,297.13
  4. Step 4: Simplify right side
    302,059.80x = 78,053,980,368.52
  5. Step 5: Solve for x
    x = 78,053,980,368.52/302,059.80
  6. Step 6: Final answer
    x = 258,405.72

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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.