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Finding the Fourth Proportional to 447,007.60, 670,511.40 and 258,050.80

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Solution

The fourth proportional to 447,007.60, 670,511.40 and 258,050.80 is: 387,076.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,007.60 : 670,511.40 = 258,050.80 : x
  2. Step 2: Convert to fraction form
    447,007.60/670,511.40 = 258,050.80/x
  3. Step 3: Cross multiply
    447,007.60x = 670,511.40 × 258,050.80
  4. Step 4: Simplify right side
    447,007.60x = 173,026,003,179.12
  5. Step 5: Solve for x
    x = 173,026,003,179.12/447,007.60
  6. Step 6: Final answer
    x = 387,076.20

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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.