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Finding the Fourth Proportional to 290,465.35, 435,686.18 and 100,968.68

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Solution

The fourth proportional to 290,465.35, 435,686.18 and 100,968.68 is: 151,448.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,465.35 : 435,686.18 = 100,968.68 : x
  2. Step 2: Convert to fraction form
    290,465.35/435,686.18 = 100,968.68/x
  3. Step 3: Cross multiply
    290,465.35x = 435,686.18 × 100,968.68
  4. Step 4: Simplify right side
    290,465.35x = 43,990,659,073.21
  5. Step 5: Solve for x
    x = 43,990,659,073.21/290,465.35
  6. Step 6: Final answer
    x = 151,448.91

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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.