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Finding the Fourth Proportional to 406,323, 560,539.65 and 263,129.22

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Solution

The fourth proportional to 406,323, 560,539.65 and 263,129.22 is: 362,997.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,323 : 560,539.65 = 263,129.22 : x
  2. Step 2: Convert to fraction form
    406,323/560,539.65 = 263,129.22/x
  3. Step 3: Cross multiply
    406,323x = 560,539.65 × 263,129.22
  4. Step 4: Simplify right side
    406,323x = 147,494,360,883.57
  5. Step 5: Solve for x
    x = 147,494,360,883.57/406,323
  6. Step 6: Final answer
    x = 362,997.81

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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.