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Finding the Fourth Proportional to 466,484.82, 643,947.70 and 313,611.68

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Solution

The fourth proportional to 466,484.82, 643,947.70 and 313,611.68 is: 432,917.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,484.82 : 643,947.70 = 313,611.68 : x
  2. Step 2: Convert to fraction form
    466,484.82/643,947.70 = 313,611.68/x
  3. Step 3: Cross multiply
    466,484.82x = 643,947.70 × 313,611.68
  4. Step 4: Simplify right side
    466,484.82x = 201,949,520,029.14
  5. Step 5: Solve for x
    x = 201,949,520,029.14/466,484.82
  6. Step 6: Final answer
    x = 432,917.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.