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Finding the Fourth Proportional to 519,150.97, 716,427 and 289,705.87

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Solution

The fourth proportional to 519,150.97, 716,427 and 289,705.87 is: 399,793.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,150.97 : 716,427 = 289,705.87 : x
  2. Step 2: Convert to fraction form
    519,150.97/716,427 = 289,705.87/x
  3. Step 3: Cross multiply
    519,150.97x = 716,427 × 289,705.87
  4. Step 4: Simplify right side
    519,150.97x = 207,553,107,326.49
  5. Step 5: Solve for x
    x = 207,553,107,326.49/519,150.97
  6. Step 6: Final answer
    x = 399,793.35

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1.5x scale

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.