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Finding the Fourth Proportional to 406,509.09, 609,642.10 and 122,123.58

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Solution

The fourth proportional to 406,509.09, 609,642.10 and 122,123.58 is: 183,148.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,509.09 : 609,642.10 = 122,123.58 : x
  2. Step 2: Convert to fraction form
    406,509.09/609,642.10 = 122,123.58/x
  3. Step 3: Cross multiply
    406,509.09x = 609,642.10 × 122,123.58
  4. Step 4: Simplify right side
    406,509.09x = 74,451,675,770.72
  5. Step 5: Solve for x
    x = 74,451,675,770.72/406,509.09
  6. Step 6: Final answer
    x = 183,148.86

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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.