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Finding the Fourth Proportional to 278,464.41, 384,281.25 and 151,140

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Solution

The fourth proportional to 278,464.41, 384,281.25 and 151,140 is: 208,573.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,464.41 : 384,281.25 = 151,140 : x
  2. Step 2: Convert to fraction form
    278,464.41/384,281.25 = 151,140/x
  3. Step 3: Cross multiply
    278,464.41x = 384,281.25 × 151,140
  4. Step 4: Simplify right side
    278,464.41x = 58,080,268,125
  5. Step 5: Solve for x
    x = 58,080,268,125/278,464.41
  6. Step 6: Final answer
    x = 208,573.40

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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.