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Finding the Fourth Proportional to 313,118.65, 469,141.15 and 210,343.36

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Solution

The fourth proportional to 313,118.65, 469,141.15 and 210,343.36 is: 315,154.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,118.65 : 469,141.15 = 210,343.36 : x
  2. Step 2: Convert to fraction form
    313,118.65/469,141.15 = 210,343.36/x
  3. Step 3: Cross multiply
    313,118.65x = 469,141.15 × 210,343.36
  4. Step 4: Simplify right side
    313,118.65x = 98,680,725,805.26
  5. Step 5: Solve for x
    x = 98,680,725,805.26/313,118.65
  6. Step 6: Final answer
    x = 315,154.42

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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.