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Finding the Fourth Proportional to 278,464.60, 384,281.50 and 151,140.20

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Solution

The fourth proportional to 278,464.60, 384,281.50 and 151,140.20 is: 208,573.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,464.60 : 384,281.50 = 151,140.20 : x
  2. Step 2: Convert to fraction form
    278,464.60/384,281.50 = 151,140.20/x
  3. Step 3: Cross multiply
    278,464.60x = 384,281.50 × 151,140.20
  4. Step 4: Simplify right side
    278,464.60x = 58,080,382,766.30
  5. Step 5: Solve for x
    x = 58,080,382,766.30/278,464.60
  6. Step 6: Final answer
    x = 208,573.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.