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Finding the Fourth Proportional to 210,458.80, 290,440.16 and 114,974.40

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Solution

The fourth proportional to 210,458.80, 290,440.16 and 114,974.40 is: 158,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,458.80 : 290,440.16 = 114,974.40 : x
  2. Step 2: Convert to fraction form
    210,458.80/290,440.16 = 114,974.40/x
  3. Step 3: Cross multiply
    210,458.80x = 290,440.16 × 114,974.40
  4. Step 4: Simplify right side
    210,458.80x = 33,393,183,131.90
  5. Step 5: Solve for x
    x = 33,393,183,131.90/210,458.80
  6. Step 6: Final answer
    x = 158,668.50

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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.