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Finding the Fourth Proportional to 295,965.60, 443,980.80 and 286,634.40

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Solution

The fourth proportional to 295,965.60, 443,980.80 and 286,634.40 is: 429,982.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,965.60 : 443,980.80 = 286,634.40 : x
  2. Step 2: Convert to fraction form
    295,965.60/443,980.80 = 286,634.40/x
  3. Step 3: Cross multiply
    295,965.60x = 443,980.80 × 286,634.40
  4. Step 4: Simplify right side
    295,965.60x = 127,260,170,219.52
  5. Step 5: Solve for x
    x = 127,260,170,219.52/295,965.60
  6. Step 6: Final answer
    x = 429,982.98

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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.