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Finding the Fourth Proportional to 507,257.75, 700,037.70 and 280,903.25

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Solution

The fourth proportional to 507,257.75, 700,037.70 and 280,903.25 is: 387,658.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,257.75 : 700,037.70 = 280,903.25 : x
  2. Step 2: Convert to fraction form
    507,257.75/700,037.70 = 280,903.25/x
  3. Step 3: Cross multiply
    507,257.75x = 700,037.70 × 280,903.25
  4. Step 4: Simplify right side
    507,257.75x = 196,642,865,052.53
  5. Step 5: Solve for x
    x = 196,642,865,052.53/507,257.75
  6. Step 6: Final answer
    x = 387,658.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.