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Finding the Fourth Proportional to 519,156, 716,435.28 and 280,692

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Solution

The fourth proportional to 519,156, 716,435.28 and 280,692 is: 387,354.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,156 : 716,435.28 = 280,692 : x
  2. Step 2: Convert to fraction form
    519,156/716,435.28 = 280,692/x
  3. Step 3: Cross multiply
    519,156x = 716,435.28 × 280,692
  4. Step 4: Simplify right side
    519,156x = 201,097,651,613.76
  5. Step 5: Solve for x
    x = 201,097,651,613.76/519,156
  6. Step 6: Final answer
    x = 387,354.96

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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.