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Finding the Fourth Proportional to 401,574, 554,162.16 and 229,481.04

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Solution

The fourth proportional to 401,574, 554,162.16 and 229,481.04 is: 316,678.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,574 : 554,162.16 = 229,481.04 : x
  2. Step 2: Convert to fraction form
    401,574/554,162.16 = 229,481.04/x
  3. Step 3: Cross multiply
    401,574x = 554,162.16 × 229,481.04
  4. Step 4: Simplify right side
    401,574x = 127,169,708,805.45
  5. Step 5: Solve for x
    x = 127,169,708,805.45/401,574
  6. Step 6: Final answer
    x = 316,678.14

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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.