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Finding the Fourth Proportional to 313,064.64, 469,601.44 and 76,411.76

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Solution

The fourth proportional to 313,064.64, 469,601.44 and 76,411.76 is: 114,618.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,064.64 : 469,601.44 = 76,411.76 : x
  2. Step 2: Convert to fraction form
    313,064.64/469,601.44 = 76,411.76/x
  3. Step 3: Cross multiply
    313,064.64x = 469,601.44 × 76,411.76
  4. Step 4: Simplify right side
    313,064.64x = 35,883,072,528.93
  5. Step 5: Solve for x
    x = 35,883,072,528.93/313,064.64
  6. Step 6: Final answer
    x = 114,618.73

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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.