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Finding the Fourth Proportional to 220,320, 304,041.60 and 119,718

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Solution

The fourth proportional to 220,320, 304,041.60 and 119,718 is: 165,210.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,320 : 304,041.60 = 119,718 : x
  2. Step 2: Convert to fraction form
    220,320/304,041.60 = 119,718/x
  3. Step 3: Cross multiply
    220,320x = 304,041.60 × 119,718
  4. Step 4: Simplify right side
    220,320x = 36,399,252,268.80
  5. Step 5: Solve for x
    x = 36,399,252,268.80/220,320
  6. Step 6: Final answer
    x = 165,210.84

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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.