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Finding the Fourth Proportional to 278,465.60, 384,282.84 and 151,141.20

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Solution

The fourth proportional to 278,465.60, 384,282.84 and 151,141.20 is: 208,575.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,465.60 : 384,282.84 = 151,141.20 : x
  2. Step 2: Convert to fraction form
    278,465.60/384,282.84 = 151,141.20/x
  3. Step 3: Cross multiply
    278,465.60x = 384,282.84 × 151,141.20
  4. Step 4: Simplify right side
    278,465.60x = 58,080,969,577.01
  5. Step 5: Solve for x
    x = 58,080,969,577.01/278,465.60
  6. Step 6: Final answer
    x = 208,575.03

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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.