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Finding the Fourth Proportional to 210,717.47, 290,942.40 and 130,255.31

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Solution

The fourth proportional to 210,717.47, 290,942.40 and 130,255.31 is: 179,846.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,717.47 : 290,942.40 = 130,255.31 : x
  2. Step 2: Convert to fraction form
    210,717.47/290,942.40 = 130,255.31/x
  3. Step 3: Cross multiply
    210,717.47x = 290,942.40 × 130,255.31
  4. Step 4: Simplify right side
    210,717.47x = 37,896,791,049.43
  5. Step 5: Solve for x
    x = 37,896,791,049.43/210,717.47
  6. Step 6: Final answer
    x = 179,846.46

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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.