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Finding the Fourth Proportional to 348,409.80, 480,814.92 and 205,143.48

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Solution

The fourth proportional to 348,409.80, 480,814.92 and 205,143.48 is: 283,103.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,409.80 : 480,814.92 = 205,143.48 : x
  2. Step 2: Convert to fraction form
    348,409.80/480,814.92 = 205,143.48/x
  3. Step 3: Cross multiply
    348,409.80x = 480,814.92 × 205,143.48
  4. Step 4: Simplify right side
    348,409.80x = 98,636,045,924.72
  5. Step 5: Solve for x
    x = 98,636,045,924.72/348,409.80
  6. Step 6: Final answer
    x = 283,103.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.