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Finding the Fourth Proportional to 210,463.51, 290,438.49 and 114,969.52

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Solution

The fourth proportional to 210,463.51, 290,438.49 and 114,969.52 is: 158,657.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,463.51 : 290,438.49 = 114,969.52 : x
  2. Step 2: Convert to fraction form
    210,463.51/290,438.49 = 114,969.52/x
  3. Step 3: Cross multiply
    210,463.51x = 290,438.49 × 114,969.52
  4. Step 4: Simplify right side
    210,463.51x = 33,391,573,784.82
  5. Step 5: Solve for x
    x = 33,391,573,784.82/210,463.51
  6. Step 6: Final answer
    x = 158,657.31

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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.