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Finding the Fourth Proportional to 220,284, 304,017.84 and 130,860

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Solution

The fourth proportional to 220,284, 304,017.84 and 130,860 is: 180,602.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,284 : 304,017.84 = 130,860 : x
  2. Step 2: Convert to fraction form
    220,284/304,017.84 = 130,860/x
  3. Step 3: Cross multiply
    220,284x = 304,017.84 × 130,860
  4. Step 4: Simplify right side
    220,284x = 39,783,774,542.40
  5. Step 5: Solve for x
    x = 39,783,774,542.40/220,284
  6. Step 6: Final answer
    x = 180,602.20

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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.