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Finding the Fourth Proportional to 289,329.40, 433,994.10 and 76,096.90

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Solution

The fourth proportional to 289,329.40, 433,994.10 and 76,096.90 is: 114,145.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,329.40 : 433,994.10 = 76,096.90 : x
  2. Step 2: Convert to fraction form
    289,329.40/433,994.10 = 76,096.90/x
  3. Step 3: Cross multiply
    289,329.40x = 433,994.10 × 76,096.90
  4. Step 4: Simplify right side
    289,329.40x = 33,025,605,628.29
  5. Step 5: Solve for x
    x = 33,025,605,628.29/289,329.40
  6. Step 6: Final answer
    x = 114,145.35

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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.