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Finding the Fourth Proportional to 313,731.60, 470,767.50 and 136,237.92

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Solution

The fourth proportional to 313,731.60, 470,767.50 and 136,237.92 is: 204,430.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,731.60 : 470,767.50 = 136,237.92 : x
  2. Step 2: Convert to fraction form
    313,731.60/470,767.50 = 136,237.92/x
  3. Step 3: Cross multiply
    313,731.60x = 470,767.50 × 136,237.92
  4. Step 4: Simplify right side
    313,731.60x = 64,136,385,003.60
  5. Step 5: Solve for x
    x = 64,136,385,003.60/313,731.60
  6. Step 6: Final answer
    x = 204,430.75

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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.