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Finding the Fourth Proportional to 289,015.14, 433,514.58 and 78,654.90

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Solution

The fourth proportional to 289,015.14, 433,514.58 and 78,654.90 is: 117,980.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,015.14 : 433,514.58 = 78,654.90 : x
  2. Step 2: Convert to fraction form
    289,015.14/433,514.58 = 78,654.90/x
  3. Step 3: Cross multiply
    289,015.14x = 433,514.58 × 78,654.90
  4. Step 4: Simplify right side
    289,015.14x = 34,098,045,938.44
  5. Step 5: Solve for x
    x = 34,098,045,938.44/289,015.14
  6. Step 6: Final answer
    x = 117,980.14

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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.