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Finding the Fourth Proportional to 499,292, 689,025.42 and 272,937.50

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Solution

The fourth proportional to 499,292, 689,025.42 and 272,937.50 is: 376,655.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,292 : 689,025.42 = 272,937.50 : x
  2. Step 2: Convert to fraction form
    499,292/689,025.42 = 272,937.50/x
  3. Step 3: Cross multiply
    499,292x = 689,025.42 × 272,937.50
  4. Step 4: Simplify right side
    499,292x = 188,060,875,571.25
  5. Step 5: Solve for x
    x = 188,060,875,571.25/499,292
  6. Step 6: Final answer
    x = 376,655.09

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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.