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Finding the Fourth Proportional to 519,132, 716,402.32 and 280,668

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Solution

The fourth proportional to 519,132, 716,402.32 and 280,668 is: 387,321.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,132 : 716,402.32 = 280,668 : x
  2. Step 2: Convert to fraction form
    519,132/716,402.32 = 280,668/x
  3. Step 3: Cross multiply
    519,132x = 716,402.32 × 280,668
  4. Step 4: Simplify right side
    519,132x = 201,071,206,349.76
  5. Step 5: Solve for x
    x = 201,071,206,349.76/519,132
  6. Step 6: Final answer
    x = 387,321.93

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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.