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Finding the Fourth Proportional to 650,322.78, 974,671.68 and 313,300.62

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Solution

The fourth proportional to 650,322.78, 974,671.68 and 313,300.62 is: 469,559.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,322.78 : 974,671.68 = 313,300.62 : x
  2. Step 2: Convert to fraction form
    650,322.78/974,671.68 = 313,300.62/x
  3. Step 3: Cross multiply
    650,322.78x = 974,671.68 × 313,300.62
  4. Step 4: Simplify right side
    650,322.78x = 305,365,241,640.44
  5. Step 5: Solve for x
    x = 305,365,241,640.44/650,322.78
  6. Step 6: Final answer
    x = 469,559.50

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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.