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Finding the Fourth Proportional to 499,365, 689,123.70 and 273,010.50

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Solution

The fourth proportional to 499,365, 689,123.70 and 273,010.50 is: 376,754.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,365 : 689,123.70 = 273,010.50 : x
  2. Step 2: Convert to fraction form
    499,365/689,123.70 = 273,010.50/x
  3. Step 3: Cross multiply
    499,365x = 689,123.70 × 273,010.50
  4. Step 4: Simplify right side
    499,365x = 188,138,005,898.85
  5. Step 5: Solve for x
    x = 188,138,005,898.85/499,365
  6. Step 6: Final answer
    x = 376,754.49

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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.