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Finding the Fourth Proportional to 405,726.42, 608,645 and 169,013.74

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Solution

The fourth proportional to 405,726.42, 608,645 and 169,013.74 is: 253,543.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,726.42 : 608,645 = 169,013.74 : x
  2. Step 2: Convert to fraction form
    405,726.42/608,645 = 169,013.74/x
  3. Step 3: Cross multiply
    405,726.42x = 608,645 × 169,013.74
  4. Step 4: Simplify right side
    405,726.42x = 102,869,367,782.30
  5. Step 5: Solve for x
    x = 102,869,367,782.30/405,726.42
  6. Step 6: Final answer
    x = 253,543.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.