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Finding the Fourth Proportional to 519,122, 716,389.44 and 280,658

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Solution

The fourth proportional to 519,122, 716,389.44 and 280,658 is: 387,308.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,122 : 716,389.44 = 280,658 : x
  2. Step 2: Convert to fraction form
    519,122/716,389.44 = 280,658/x
  3. Step 3: Cross multiply
    519,122x = 716,389.44 × 280,658
  4. Step 4: Simplify right side
    519,122x = 201,060,427,451.52
  5. Step 5: Solve for x
    x = 201,060,427,451.52/519,122
  6. Step 6: Final answer
    x = 387,308.62

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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.