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Finding the Fourth Proportional to 519,225, 716,530.50 and 280,761

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Solution

The fourth proportional to 519,225, 716,530.50 and 280,761 is: 387,450.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,225 : 716,530.50 = 280,761 : x
  2. Step 2: Convert to fraction form
    519,225/716,530.50 = 280,761/x
  3. Step 3: Cross multiply
    519,225x = 716,530.50 × 280,761
  4. Step 4: Simplify right side
    519,225x = 201,173,819,710.50
  5. Step 5: Solve for x
    x = 201,173,819,710.50/519,225
  6. Step 6: Final answer
    x = 387,450.18

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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.