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Finding the Fourth Proportional to 313,714.82, 470,186.78 and 145,006.91

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Solution

The fourth proportional to 313,714.82, 470,186.78 and 145,006.91 is: 217,332.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,714.82 : 470,186.78 = 145,006.91 : x
  2. Step 2: Convert to fraction form
    313,714.82/470,186.78 = 145,006.91/x
  3. Step 3: Cross multiply
    313,714.82x = 470,186.78 × 145,006.91
  4. Step 4: Simplify right side
    313,714.82x = 68,180,330,777.88
  5. Step 5: Solve for x
    x = 68,180,330,777.88/313,714.82
  6. Step 6: Final answer
    x = 217,332.19

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1.5x scale

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.