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Finding the Fourth Proportional to 441,421.16, 609,121.48 and 257,675.68

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Solution

The fourth proportional to 441,421.16, 609,121.48 and 257,675.68 is: 355,569.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,421.16 : 609,121.48 = 257,675.68 : x
  2. Step 2: Convert to fraction form
    441,421.16/609,121.48 = 257,675.68/x
  3. Step 3: Cross multiply
    441,421.16x = 609,121.48 × 257,675.68
  4. Step 4: Simplify right side
    441,421.16x = 156,955,788,735.65
  5. Step 5: Solve for x
    x = 156,955,788,735.65/441,421.16
  6. Step 6: Final answer
    x = 355,569.25

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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.