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Finding the Fourth Proportional to 289,317.40, 433,976.10 and 76,084.90

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Solution

The fourth proportional to 289,317.40, 433,976.10 and 76,084.90 is: 114,127.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,317.40 : 433,976.10 = 76,084.90 : x
  2. Step 2: Convert to fraction form
    289,317.40/433,976.10 = 76,084.90/x
  3. Step 3: Cross multiply
    289,317.40x = 433,976.10 × 76,084.90
  4. Step 4: Simplify right side
    289,317.40x = 33,019,028,170.89
  5. Step 5: Solve for x
    x = 33,019,028,170.89/289,317.40
  6. Step 6: Final answer
    x = 114,127.35

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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.