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Finding the Fourth Proportional to 519,146, 716,421.52 and 280,682

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Solution

The fourth proportional to 519,146, 716,421.52 and 280,682 is: 387,341.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,146 : 716,421.52 = 280,682 : x
  2. Step 2: Convert to fraction form
    519,146/716,421.52 = 280,682/x
  3. Step 3: Cross multiply
    519,146x = 716,421.52 × 280,682
  4. Step 4: Simplify right side
    519,146x = 201,086,625,076.64
  5. Step 5: Solve for x
    x = 201,086,625,076.64/519,146
  6. Step 6: Final answer
    x = 387,341.18

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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.