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Finding the Fourth Proportional to 313,635.47, 470,382.27 and 145,063.29

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Solution

The fourth proportional to 313,635.47, 470,382.27 and 145,063.29 is: 217,562.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,635.47 : 470,382.27 = 145,063.29 : x
  2. Step 2: Convert to fraction form
    313,635.47/470,382.27 = 145,063.29/x
  3. Step 3: Cross multiply
    313,635.47x = 470,382.27 × 145,063.29
  4. Step 4: Simplify right side
    313,635.47x = 68,235,199,643.87
  5. Step 5: Solve for x
    x = 68,235,199,643.87/313,635.47
  6. Step 6: Final answer
    x = 217,562.13

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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.