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Finding the Fourth Proportional to 289,752.60, 434,733.30 and 129,815.40

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Solution

The fourth proportional to 289,752.60, 434,733.30 and 129,815.40 is: 194,769.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,752.60 : 434,733.30 = 129,815.40 : x
  2. Step 2: Convert to fraction form
    289,752.60/434,733.30 = 129,815.40/x
  3. Step 3: Cross multiply
    289,752.60x = 434,733.30 × 129,815.40
  4. Step 4: Simplify right side
    289,752.60x = 56,435,077,232.82
  5. Step 5: Solve for x
    x = 56,435,077,232.82/289,752.60
  6. Step 6: Final answer
    x = 194,769.87

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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.