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Finding the Fourth Proportional to 290,534.28, 435,843 and 140,651.40

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Solution

The fourth proportional to 290,534.28, 435,843 and 140,651.40 is: 210,997.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,534.28 : 435,843 = 140,651.40 : x
  2. Step 2: Convert to fraction form
    290,534.28/435,843 = 140,651.40/x
  3. Step 3: Cross multiply
    290,534.28x = 435,843 × 140,651.40
  4. Step 4: Simplify right side
    290,534.28x = 61,301,928,130.20
  5. Step 5: Solve for x
    x = 61,301,928,130.20/290,534.28
  6. Step 6: Final answer
    x = 210,997.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.