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Finding the Fourth Proportional to 313,812.80, 470,775.60 and 114,412.92

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Solution

The fourth proportional to 313,812.80, 470,775.60 and 114,412.92 is: 171,639.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,812.80 : 470,775.60 = 114,412.92 : x
  2. Step 2: Convert to fraction form
    313,812.80/470,775.60 = 114,412.92/x
  3. Step 3: Cross multiply
    313,812.80x = 470,775.60 × 114,412.92
  4. Step 4: Simplify right side
    313,812.80x = 53,862,811,060.75
  5. Step 5: Solve for x
    x = 53,862,811,060.75/313,812.80
  6. Step 6: Final answer
    x = 171,639.94

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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.