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Finding the Fourth Proportional to 290,157.26, 435,358.89 and 140,509.05

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Solution

The fourth proportional to 290,157.26, 435,358.89 and 140,509.05 is: 210,823.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,157.26 : 435,358.89 = 140,509.05 : x
  2. Step 2: Convert to fraction form
    290,157.26/435,358.89 = 140,509.05/x
  3. Step 3: Cross multiply
    290,157.26x = 435,358.89 × 140,509.05
  4. Step 4: Simplify right side
    290,157.26x = 61,171,862,410.36
  5. Step 5: Solve for x
    x = 61,171,862,410.36/290,157.26
  6. Step 6: Final answer
    x = 210,823.14

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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.