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Finding the Fourth Proportional to 291,825.75, 437,738.76 and 70,209.75

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Solution

The fourth proportional to 291,825.75, 437,738.76 and 70,209.75 is: 105,314.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,825.75 : 437,738.76 = 70,209.75 : x
  2. Step 2: Convert to fraction form
    291,825.75/437,738.76 = 70,209.75/x
  3. Step 3: Cross multiply
    291,825.75x = 437,738.76 × 70,209.75
  4. Step 4: Simplify right side
    291,825.75x = 30,733,528,904.91
  5. Step 5: Solve for x
    x = 30,733,528,904.91/291,825.75
  6. Step 6: Final answer
    x = 105,314.66

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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.