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Finding the Fourth Proportional to 220,289, 304,024.76 and 130,865

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Solution

The fourth proportional to 220,289, 304,024.76 and 130,865 is: 180,609.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,289 : 304,024.76 = 130,865 : x
  2. Step 2: Convert to fraction form
    220,289/304,024.76 = 130,865/x
  3. Step 3: Cross multiply
    220,289x = 304,024.76 × 130,865
  4. Step 4: Simplify right side
    220,289x = 39,786,200,217.40
  5. Step 5: Solve for x
    x = 39,786,200,217.40/220,289
  6. Step 6: Final answer
    x = 180,609.11

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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.