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Finding the Fourth Proportional to 220,383, 304,128.54 and 130,959

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Solution

The fourth proportional to 220,383, 304,128.54 and 130,959 is: 180,723.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,383 : 304,128.54 = 130,959 : x
  2. Step 2: Convert to fraction form
    220,383/304,128.54 = 130,959/x
  3. Step 3: Cross multiply
    220,383x = 304,128.54 × 130,959
  4. Step 4: Simplify right side
    220,383x = 39,828,369,469.86
  5. Step 5: Solve for x
    x = 39,828,369,469.86/220,383
  6. Step 6: Final answer
    x = 180,723.42

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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.