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Finding the Fourth Proportional to 401,763.86, 554,296.80 and 229,558.28

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Solution

The fourth proportional to 401,763.86, 554,296.80 and 229,558.28 is: 316,711.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,763.86 : 554,296.80 = 229,558.28 : x
  2. Step 2: Convert to fraction form
    401,763.86/554,296.80 = 229,558.28/x
  3. Step 3: Cross multiply
    401,763.86x = 554,296.80 × 229,558.28
  4. Step 4: Simplify right side
    401,763.86x = 127,243,420,017.50
  5. Step 5: Solve for x
    x = 127,243,420,017.50/401,763.86
  6. Step 6: Final answer
    x = 316,711.96

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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.