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Finding the Fourth Proportional to 519,078, 716,328.60 and 280,614

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Solution

The fourth proportional to 519,078, 716,328.60 and 280,614 is: 387,247.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,078 : 716,328.60 = 280,614 : x
  2. Step 2: Convert to fraction form
    519,078/716,328.60 = 280,614/x
  3. Step 3: Cross multiply
    519,078x = 716,328.60 × 280,614
  4. Step 4: Simplify right side
    519,078x = 201,011,833,760.40
  5. Step 5: Solve for x
    x = 201,011,833,760.40/519,078
  6. Step 6: Final answer
    x = 387,247.84

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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.