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Finding the Fourth Proportional to 587,338.40, 881,007.60 and 306,819.20

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Solution

The fourth proportional to 587,338.40, 881,007.60 and 306,819.20 is: 460,228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,338.40 : 881,007.60 = 306,819.20 : x
  2. Step 2: Convert to fraction form
    587,338.40/881,007.60 = 306,819.20/x
  3. Step 3: Cross multiply
    587,338.40x = 881,007.60 × 306,819.20
  4. Step 4: Simplify right side
    587,338.40x = 270,310,047,025.92
  5. Step 5: Solve for x
    x = 270,310,047,025.92/587,338.40
  6. Step 6: Final answer
    x = 460,228.80

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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.