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Finding the Fourth Proportional to 210,304.36, 290,224.40 and 114,815.08

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Solution

The fourth proportional to 210,304.36, 290,224.40 and 114,815.08 is: 158,447.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,304.36 : 290,224.40 = 114,815.08 : x
  2. Step 2: Convert to fraction form
    210,304.36/290,224.40 = 114,815.08/x
  3. Step 3: Cross multiply
    210,304.36x = 290,224.40 × 114,815.08
  4. Step 4: Simplify right side
    210,304.36x = 33,322,137,703.95
  5. Step 5: Solve for x
    x = 33,322,137,703.95/210,304.36
  6. Step 6: Final answer
    x = 158,447.20

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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.