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Finding the Fourth Proportional to 313,025.82, 469,484.19 and 144,531.78

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Solution

The fourth proportional to 313,025.82, 469,484.19 and 144,531.78 is: 216,772.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,025.82 : 469,484.19 = 144,531.78 : x
  2. Step 2: Convert to fraction form
    313,025.82/469,484.19 = 144,531.78/x
  3. Step 3: Cross multiply
    313,025.82x = 469,484.19 × 144,531.78
  4. Step 4: Simplify right side
    313,025.82x = 67,855,385,662.56
  5. Step 5: Solve for x
    x = 67,855,385,662.56/313,025.82
  6. Step 6: Final answer
    x = 216,772.49

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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.