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Finding the Fourth Proportional to 401,487.40, 554,050.04 and 229,458

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Solution

The fourth proportional to 401,487.40, 554,050.04 and 229,458 is: 316,650.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,487.40 : 554,050.04 = 229,458 : x
  2. Step 2: Convert to fraction form
    401,487.40/554,050.04 = 229,458/x
  3. Step 3: Cross multiply
    401,487.40x = 554,050.04 × 229,458
  4. Step 4: Simplify right side
    401,487.40x = 127,131,214,078.32
  5. Step 5: Solve for x
    x = 127,131,214,078.32/401,487.40
  6. Step 6: Final answer
    x = 316,650.57

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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.