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Finding the Fourth Proportional to 406,459.81, 560,914.56 and 222,699.16

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Solution

The fourth proportional to 406,459.81, 560,914.56 and 222,699.16 is: 307,324.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,459.81 : 560,914.56 = 222,699.16 : x
  2. Step 2: Convert to fraction form
    406,459.81/560,914.56 = 222,699.16/x
  3. Step 3: Cross multiply
    406,459.81x = 560,914.56 × 222,699.16
  4. Step 4: Simplify right side
    406,459.81x = 124,915,199,941.48
  5. Step 5: Solve for x
    x = 124,915,199,941.48/406,459.81
  6. Step 6: Final answer
    x = 307,324.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.