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Finding the Fourth Proportional to 313,687.56, 470,266.78 and 136,060.77

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Solution

The fourth proportional to 313,687.56, 470,266.78 and 136,060.77 is: 203,976.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,687.56 : 470,266.78 = 136,060.77 : x
  2. Step 2: Convert to fraction form
    313,687.56/470,266.78 = 136,060.77/x
  3. Step 3: Cross multiply
    313,687.56x = 470,266.78 × 136,060.77
  4. Step 4: Simplify right side
    313,687.56x = 63,984,860,192.22
  5. Step 5: Solve for x
    x = 63,984,860,192.22/313,687.56
  6. Step 6: Final answer
    x = 203,976.40

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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.