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Finding the Fourth Proportional to 289,591.20, 434,494.80 and 121,130.64

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Solution

The fourth proportional to 289,591.20, 434,494.80 and 121,130.64 is: 181,741.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,591.20 : 434,494.80 = 121,130.64 : x
  2. Step 2: Convert to fraction form
    289,591.20/434,494.80 = 121,130.64/x
  3. Step 3: Cross multiply
    289,591.20x = 434,494.80 × 121,130.64
  4. Step 4: Simplify right side
    289,591.20x = 52,630,633,200.67
  5. Step 5: Solve for x
    x = 52,630,633,200.67/289,591.20
  6. Step 6: Final answer
    x = 181,741.13

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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.