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Finding the Fourth Proportional to 220,382, 304,127.16 and 130,958

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Solution

The fourth proportional to 220,382, 304,127.16 and 130,958 is: 180,722.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,382 : 304,127.16 = 130,958 : x
  2. Step 2: Convert to fraction form
    220,382/304,127.16 = 130,958/x
  3. Step 3: Cross multiply
    220,382x = 304,127.16 × 130,958
  4. Step 4: Simplify right side
    220,382x = 39,827,884,619.28
  5. Step 5: Solve for x
    x = 39,827,884,619.28/220,382
  6. Step 6: Final answer
    x = 180,722.04

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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.