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Finding the Fourth Proportional to 406,173.80, 609,319.02 and 139,862.81

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Solution

The fourth proportional to 406,173.80, 609,319.02 and 139,862.81 is: 209,814.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,173.80 : 609,319.02 = 139,862.81 : x
  2. Step 2: Convert to fraction form
    406,173.80/609,319.02 = 139,862.81/x
  3. Step 3: Cross multiply
    406,173.80x = 609,319.02 × 139,862.81
  4. Step 4: Simplify right side
    406,173.80x = 85,221,066,577.74
  5. Step 5: Solve for x
    x = 85,221,066,577.74/406,173.80
  6. Step 6: Final answer
    x = 209,814.29

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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.