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Finding the Fourth Proportional to 210,463.39, 290,435.84 and 114,967.63

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Solution

The fourth proportional to 210,463.39, 290,435.84 and 114,967.63 is: 158,653.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,463.39 : 290,435.84 = 114,967.63 : x
  2. Step 2: Convert to fraction form
    210,463.39/290,435.84 = 114,967.63/x
  3. Step 3: Cross multiply
    210,463.39x = 290,435.84 × 114,967.63
  4. Step 4: Simplify right side
    210,463.39x = 33,390,719,617.02
  5. Step 5: Solve for x
    x = 33,390,719,617.02/210,463.39
  6. Step 6: Final answer
    x = 158,653.34

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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.