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Finding the Fourth Proportional to 519,147.99, 716,422.87 and 289,702.84

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Solution

The fourth proportional to 519,147.99, 716,422.87 and 289,702.84 is: 399,789.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,147.99 : 716,422.87 = 289,702.84 : x
  2. Step 2: Convert to fraction form
    519,147.99/716,422.87 = 289,702.84/x
  3. Step 3: Cross multiply
    519,147.99x = 716,422.87 × 289,702.84
  4. Step 4: Simplify right side
    519,147.99x = 207,549,737,564.64
  5. Step 5: Solve for x
    x = 207,549,737,564.64/519,147.99
  6. Step 6: Final answer
    x = 399,789.16

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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.