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Finding the Fourth Proportional to 499,588.76, 689,439.77 and 281,807.84

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Solution

The fourth proportional to 499,588.76, 689,439.77 and 281,807.84 is: 388,898.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,588.76 : 689,439.77 = 281,807.84 : x
  2. Step 2: Convert to fraction form
    499,588.76/689,439.77 = 281,807.84/x
  3. Step 3: Cross multiply
    499,588.76x = 689,439.77 × 281,807.84
  4. Step 4: Simplify right side
    499,588.76x = 194,289,533,765.14
  5. Step 5: Solve for x
    x = 194,289,533,765.14/499,588.76
  6. Step 6: Final answer
    x = 388,898.93

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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.