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Finding the Fourth Proportional to 210,447, 290,415.12 and 114,953.72

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Solution

The fourth proportional to 210,447, 290,415.12 and 114,953.72 is: 158,635.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,447 : 290,415.12 = 114,953.72 : x
  2. Step 2: Convert to fraction form
    210,447/290,415.12 = 114,953.72/x
  3. Step 3: Cross multiply
    210,447x = 290,415.12 × 114,953.72
  4. Step 4: Simplify right side
    210,447x = 33,384,298,388.25
  5. Step 5: Solve for x
    x = 33,384,298,388.25/210,447
  6. Step 6: Final answer
    x = 158,635.18

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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.