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Finding the Fourth Proportional to 521,989.10, 782,983.65 and 452,005.10

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Solution

The fourth proportional to 521,989.10, 782,983.65 and 452,005.10 is: 678,007.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,989.10 : 782,983.65 = 452,005.10 : x
  2. Step 2: Convert to fraction form
    521,989.10/782,983.65 = 452,005.10/x
  3. Step 3: Cross multiply
    521,989.10x = 782,983.65 × 452,005.10
  4. Step 4: Simplify right side
    521,989.10x = 353,912,603,016.62
  5. Step 5: Solve for x
    x = 353,912,603,016.62/521,989.10
  6. Step 6: Final answer
    x = 678,007.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.