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Finding the Fourth Proportional to 406,036.52, 609,095.34 and 139,761.80

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Solution

The fourth proportional to 406,036.52, 609,095.34 and 139,761.80 is: 209,656.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,036.52 : 609,095.34 = 139,761.80 : x
  2. Step 2: Convert to fraction form
    406,036.52/609,095.34 = 139,761.80/x
  3. Step 3: Cross multiply
    406,036.52x = 609,095.34 × 139,761.80
  4. Step 4: Simplify right side
    406,036.52x = 85,128,261,090.01
  5. Step 5: Solve for x
    x = 85,128,261,090.01/406,036.52
  6. Step 6: Final answer
    x = 209,656.66

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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.