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Finding the Fourth Proportional to 313,186.72, 470,026.32 and 144,784.48

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Solution

The fourth proportional to 313,186.72, 470,026.32 and 144,784.48 is: 217,290.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,186.72 : 470,026.32 = 144,784.48 : x
  2. Step 2: Convert to fraction form
    313,186.72/470,026.32 = 144,784.48/x
  3. Step 3: Cross multiply
    313,186.72x = 470,026.32 × 144,784.48
  4. Step 4: Simplify right side
    313,186.72x = 68,052,516,327.51
  5. Step 5: Solve for x
    x = 68,052,516,327.51/313,186.72
  6. Step 6: Final answer
    x = 217,290.56

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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.