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Finding the Fourth Proportional to 210,464.88, 290,430.66 and 114,953.12

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Solution

The fourth proportional to 210,464.88, 290,430.66 and 114,953.12 is: 158,629.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,464.88 : 290,430.66 = 114,953.12 : x
  2. Step 2: Convert to fraction form
    210,464.88/290,430.66 = 114,953.12/x
  3. Step 3: Cross multiply
    210,464.88x = 290,430.66 × 114,953.12
  4. Step 4: Simplify right side
    210,464.88x = 33,385,912,212.37
  5. Step 5: Solve for x
    x = 33,385,912,212.37/210,464.88
  6. Step 6: Final answer
    x = 158,629.37

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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.