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Finding the Fourth Proportional to 519,213, 716,516.10 and 280,749

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Solution

The fourth proportional to 519,213, 716,516.10 and 280,749 is: 387,434.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,213 : 716,516.10 = 280,749 : x
  2. Step 2: Convert to fraction form
    519,213/716,516.10 = 280,749/x
  3. Step 3: Cross multiply
    519,213x = 716,516.10 × 280,749
  4. Step 4: Simplify right side
    519,213x = 201,161,178,558.90
  5. Step 5: Solve for x
    x = 201,161,178,558.90/519,213
  6. Step 6: Final answer
    x = 387,434.79

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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.