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Finding the Fourth Proportional to 289,585.60, 434,263.20 and 102,500.80

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Solution

The fourth proportional to 289,585.60, 434,263.20 and 102,500.80 is: 153,710.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,585.60 : 434,263.20 = 102,500.80 : x
  2. Step 2: Convert to fraction form
    289,585.60/434,263.20 = 102,500.80/x
  3. Step 3: Cross multiply
    289,585.60x = 434,263.20 × 102,500.80
  4. Step 4: Simplify right side
    289,585.60x = 44,512,325,410.56
  5. Step 5: Solve for x
    x = 44,512,325,410.56/289,585.60
  6. Step 6: Final answer
    x = 153,710.42

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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.