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Finding the Fourth Proportional to 406,381.56, 609,528.60 and 122,042.40

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Solution

The fourth proportional to 406,381.56, 609,528.60 and 122,042.40 is: 183,050.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,381.56 : 609,528.60 = 122,042.40 : x
  2. Step 2: Convert to fraction form
    406,381.56/609,528.60 = 122,042.40/x
  3. Step 3: Cross multiply
    406,381.56x = 609,528.60 × 122,042.40
  4. Step 4: Simplify right side
    406,381.56x = 74,388,333,212.64
  5. Step 5: Solve for x
    x = 74,388,333,212.64/406,381.56
  6. Step 6: Final answer
    x = 183,050.46

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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.