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Finding the Fourth Proportional to 286,594.10, 429,891.15 and 257,069.60

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Solution

The fourth proportional to 286,594.10, 429,891.15 and 257,069.60 is: 385,604.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,594.10 : 429,891.15 = 257,069.60 : x
  2. Step 2: Convert to fraction form
    286,594.10/429,891.15 = 257,069.60/x
  3. Step 3: Cross multiply
    286,594.10x = 429,891.15 × 257,069.60
  4. Step 4: Simplify right side
    286,594.10x = 110,511,945,974.04
  5. Step 5: Solve for x
    x = 110,511,945,974.04/286,594.10
  6. Step 6: Final answer
    x = 385,604.40

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Similar ratio
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1.5x scale

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.