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Finding the Fourth Proportional to 313,009.64, 468,713.02 and 172,612.52

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Solution

The fourth proportional to 313,009.64, 468,713.02 and 172,612.52 is: 258,476.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,009.64 : 468,713.02 = 172,612.52 : x
  2. Step 2: Convert to fraction form
    313,009.64/468,713.02 = 172,612.52/x
  3. Step 3: Cross multiply
    313,009.64x = 468,713.02 × 172,612.52
  4. Step 4: Simplify right side
    313,009.64x = 80,905,735,539.01
  5. Step 5: Solve for x
    x = 80,905,735,539.01/313,009.64
  6. Step 6: Final answer
    x = 258,476.82

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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.