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Finding the Fourth Proportional to 202,728.77, 304,142.61 and 142,873.91

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Solution

The fourth proportional to 202,728.77, 304,142.61 and 142,873.91 is: 214,345.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,728.77 : 304,142.61 = 142,873.91 : x
  2. Step 2: Convert to fraction form
    202,728.77/304,142.61 = 142,873.91/x
  3. Step 3: Cross multiply
    202,728.77x = 304,142.61 × 142,873.91
  4. Step 4: Simplify right side
    202,728.77x = 43,454,043,888.31
  5. Step 5: Solve for x
    x = 43,454,043,888.31/202,728.77
  6. Step 6: Final answer
    x = 214,345.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.