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Finding the Fourth Proportional to 290,271.86, 435,074.79 and 121,761.02

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Solution

The fourth proportional to 290,271.86, 435,074.79 and 121,761.02 is: 182,501.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,271.86 : 435,074.79 = 121,761.02 : x
  2. Step 2: Convert to fraction form
    290,271.86/435,074.79 = 121,761.02/x
  3. Step 3: Cross multiply
    290,271.86x = 435,074.79 × 121,761.02
  4. Step 4: Simplify right side
    290,271.86x = 52,975,150,206.69
  5. Step 5: Solve for x
    x = 52,975,150,206.69/290,271.86
  6. Step 6: Final answer
    x = 182,501.85

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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.