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Finding the Fourth Proportional to 519,415, 716,794.14 and 280,951

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Solution

The fourth proportional to 519,415, 716,794.14 and 280,951 is: 387,713.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,415 : 716,794.14 = 280,951 : x
  2. Step 2: Convert to fraction form
    519,415/716,794.14 = 280,951/x
  3. Step 3: Cross multiply
    519,415x = 716,794.14 × 280,951
  4. Step 4: Simplify right side
    519,415x = 201,384,030,427.14
  5. Step 5: Solve for x
    x = 201,384,030,427.14/519,415
  6. Step 6: Final answer
    x = 387,713.16

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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.