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Finding the Fourth Proportional to 313,191.36, 469,471.68 and 180,031.68

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Solution

The fourth proportional to 313,191.36, 469,471.68 and 180,031.68 is: 269,866.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,191.36 : 469,471.68 = 180,031.68 : x
  2. Step 2: Convert to fraction form
    313,191.36/469,471.68 = 180,031.68/x
  3. Step 3: Cross multiply
    313,191.36x = 469,471.68 × 180,031.68
  4. Step 4: Simplify right side
    313,191.36x = 84,519,775,262.82
  5. Step 5: Solve for x
    x = 84,519,775,262.82/313,191.36
  6. Step 6: Final answer
    x = 269,866.24

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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.