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Finding the Fourth Proportional to 519,308.50, 716,647.90 and 280,844.50

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Solution

The fourth proportional to 519,308.50, 716,647.90 and 280,844.50 is: 387,566.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,308.50 : 716,647.90 = 280,844.50 : x
  2. Step 2: Convert to fraction form
    519,308.50/716,647.90 = 280,844.50/x
  3. Step 3: Cross multiply
    519,308.50x = 716,647.90 × 280,844.50
  4. Step 4: Simplify right side
    519,308.50x = 201,266,621,151.55
  5. Step 5: Solve for x
    x = 201,266,621,151.55/519,308.50
  6. Step 6: Final answer
    x = 387,566.58

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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.