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Finding the Fourth Proportional to 447,137.64, 670,706.37 and 260,017.92

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Solution

The fourth proportional to 447,137.64, 670,706.37 and 260,017.92 is: 390,026.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,137.64 : 670,706.37 = 260,017.92 : x
  2. Step 2: Convert to fraction form
    447,137.64/670,706.37 = 260,017.92/x
  3. Step 3: Cross multiply
    447,137.64x = 670,706.37 × 260,017.92
  4. Step 4: Simplify right side
    447,137.64x = 174,395,675,258.15
  5. Step 5: Solve for x
    x = 174,395,675,258.15/447,137.64
  6. Step 6: Final answer
    x = 390,026.83

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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.