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Finding the Fourth Proportional to 312,712.40, 469,068.60 and 125,627.60

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Solution

The fourth proportional to 312,712.40, 469,068.60 and 125,627.60 is: 188,441.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,712.40 : 469,068.60 = 125,627.60 : x
  2. Step 2: Convert to fraction form
    312,712.40/469,068.60 = 125,627.60/x
  3. Step 3: Cross multiply
    312,712.40x = 469,068.60 × 125,627.60
  4. Step 4: Simplify right side
    312,712.40x = 58,927,962,453.36
  5. Step 5: Solve for x
    x = 58,927,962,453.36/312,712.40
  6. Step 6: Final answer
    x = 188,441.40

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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.