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Finding the Fourth Proportional to 210,253.60, 290,243.28 and 142,369.12

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Solution

The fourth proportional to 210,253.60, 290,243.28 and 142,369.12 is: 196,532.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,253.60 : 290,243.28 = 142,369.12 : x
  2. Step 2: Convert to fraction form
    210,253.60/290,243.28 = 142,369.12/x
  3. Step 3: Cross multiply
    210,253.60x = 290,243.28 × 142,369.12
  4. Step 4: Simplify right side
    210,253.60x = 41,321,680,359.51
  5. Step 5: Solve for x
    x = 41,321,680,359.51/210,253.60
  6. Step 6: Final answer
    x = 196,532.57

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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.