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Finding the Fourth Proportional to 282,471, 389,844.54 and 163,239

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Solution

The fourth proportional to 282,471, 389,844.54 and 163,239 is: 225,289.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,471 : 389,844.54 = 163,239 : x
  2. Step 2: Convert to fraction form
    282,471/389,844.54 = 163,239/x
  3. Step 3: Cross multiply
    282,471x = 389,844.54 × 163,239
  4. Step 4: Simplify right side
    282,471x = 63,637,832,865.06
  5. Step 5: Solve for x
    x = 63,637,832,865.06/282,471
  6. Step 6: Final answer
    x = 225,289.79

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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.