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Finding the Fourth Proportional to 313,453.48, 470,259.78 and 145,095.16

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Solution

The fourth proportional to 313,453.48, 470,259.78 and 145,095.16 is: 217,679.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,453.48 : 470,259.78 = 145,095.16 : x
  2. Step 2: Convert to fraction form
    313,453.48/470,259.78 = 145,095.16/x
  3. Step 3: Cross multiply
    313,453.48x = 470,259.78 × 145,095.16
  4. Step 4: Simplify right side
    313,453.48x = 68,232,418,020.66
  5. Step 5: Solve for x
    x = 68,232,418,020.66/313,453.48
  6. Step 6: Final answer
    x = 217,679.57

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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.