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Finding the Fourth Proportional to 406,355, 609,483.97 and 106,858.91

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Solution

The fourth proportional to 406,355, 609,483.97 and 106,858.91 is: 160,275.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,355 : 609,483.97 = 106,858.91 : x
  2. Step 2: Convert to fraction form
    406,355/609,483.97 = 106,858.91/x
  3. Step 3: Cross multiply
    406,355x = 609,483.97 × 106,858.91
  4. Step 4: Simplify right side
    406,355x = 65,128,790,905.82
  5. Step 5: Solve for x
    x = 65,128,790,905.82/406,355
  6. Step 6: Final answer
    x = 160,275.60

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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.