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Finding the Fourth Proportional to 210,442, 290,408.22 and 114,948.76

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Solution

The fourth proportional to 210,442, 290,408.22 and 114,948.76 is: 158,628.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,442 : 290,408.22 = 114,948.76 : x
  2. Step 2: Convert to fraction form
    210,442/290,408.22 = 114,948.76/x
  3. Step 3: Cross multiply
    210,442x = 290,408.22 × 114,948.76
  4. Step 4: Simplify right side
    210,442x = 33,382,064,782.81
  5. Step 5: Solve for x
    x = 33,382,064,782.81/210,442
  6. Step 6: Final answer
    x = 158,628.34

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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.