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Finding the Fourth Proportional to 210,469.40, 290,444.11 and 114,973.64

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Solution

The fourth proportional to 210,469.40, 290,444.11 and 114,973.64 is: 158,661.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,469.40 : 290,444.11 = 114,973.64 : x
  2. Step 2: Convert to fraction form
    210,469.40/290,444.11 = 114,973.64/x
  3. Step 3: Cross multiply
    210,469.40x = 290,444.11 × 114,973.64
  4. Step 4: Simplify right side
    210,469.40x = 33,393,416,543.26
  5. Step 5: Solve for x
    x = 33,393,416,543.26/210,469.40
  6. Step 6: Final answer
    x = 158,661.62

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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.