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Finding the Fourth Proportional to 401,543.81, 554,120.47 and 229,450.86

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Solution

The fourth proportional to 401,543.81, 554,120.47 and 229,450.86 is: 316,636.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,543.81 : 554,120.47 = 229,450.86 : x
  2. Step 2: Convert to fraction form
    401,543.81/554,120.47 = 229,450.86/x
  3. Step 3: Cross multiply
    401,543.81x = 554,120.47 × 229,450.86
  4. Step 4: Simplify right side
    401,543.81x = 127,143,418,385.10
  5. Step 5: Solve for x
    x = 127,143,418,385.10/401,543.81
  6. Step 6: Final answer
    x = 316,636.48

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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.