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Finding the Fourth Proportional to 638,907.80, 958,361.70 and 470,946.20

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Solution

The fourth proportional to 638,907.80, 958,361.70 and 470,946.20 is: 706,419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,907.80 : 958,361.70 = 470,946.20 : x
  2. Step 2: Convert to fraction form
    638,907.80/958,361.70 = 470,946.20/x
  3. Step 3: Cross multiply
    638,907.80x = 958,361.70 × 470,946.20
  4. Step 4: Simplify right side
    638,907.80x = 451,336,800,840.54
  5. Step 5: Solve for x
    x = 451,336,800,840.54/638,907.80
  6. Step 6: Final answer
    x = 706,419.30

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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.