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Finding the Fourth Proportional to 519,242, 716,554 and 280,778

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Solution

The fourth proportional to 519,242, 716,554 and 280,778 is: 387,473.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,242 : 716,554 = 280,778 : x
  2. Step 2: Convert to fraction form
    519,242/716,554 = 280,778/x
  3. Step 3: Cross multiply
    519,242x = 716,554 × 280,778
  4. Step 4: Simplify right side
    519,242x = 201,192,599,012
  5. Step 5: Solve for x
    x = 201,192,599,012/519,242
  6. Step 6: Final answer
    x = 387,473.66

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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.