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Finding the Fourth Proportional to 499,688.87, 689,588.48 and 284,794.25

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Solution

The fourth proportional to 499,688.87, 689,588.48 and 284,794.25 is: 393,026.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,688.87 : 689,588.48 = 284,794.25 : x
  2. Step 2: Convert to fraction form
    499,688.87/689,588.48 = 284,794.25/x
  3. Step 3: Cross multiply
    499,688.87x = 689,588.48 × 284,794.25
  4. Step 4: Simplify right side
    499,688.87x = 196,390,831,234.28
  5. Step 5: Solve for x
    x = 196,390,831,234.28/499,688.87
  6. Step 6: Final answer
    x = 393,026.23

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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.