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Finding the Fourth Proportional to 499,603.47, 689,435.73 and 284,812.77

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Solution

The fourth proportional to 499,603.47, 689,435.73 and 284,812.77 is: 393,031.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,603.47 : 689,435.73 = 284,812.77 : x
  2. Step 2: Convert to fraction form
    499,603.47/689,435.73 = 284,812.77/x
  3. Step 3: Cross multiply
    499,603.47x = 689,435.73 × 284,812.77
  4. Step 4: Simplify right side
    499,603.47x = 196,360,099,998.27
  5. Step 5: Solve for x
    x = 196,360,099,998.27/499,603.47
  6. Step 6: Final answer
    x = 393,031.90

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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.