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Finding the Fourth Proportional to 220,465.08, 304,243.20 and 129,825

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Solution

The fourth proportional to 220,465.08, 304,243.20 and 129,825 is: 179,159.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,465.08 : 304,243.20 = 129,825 : x
  2. Step 2: Convert to fraction form
    220,465.08/304,243.20 = 129,825/x
  3. Step 3: Cross multiply
    220,465.08x = 304,243.20 × 129,825
  4. Step 4: Simplify right side
    220,465.08x = 39,498,373,440
  5. Step 5: Solve for x
    x = 39,498,373,440/220,465.08
  6. Step 6: Final answer
    x = 179,159.32

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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.