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Finding the Fourth Proportional to 415,213.23, 569,257.31 and 407,646.43

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Solution

The fourth proportional to 415,213.23, 569,257.31 and 407,646.43 is: 558,883.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,213.23 : 569,257.31 = 407,646.43 : x
  2. Step 2: Convert to fraction form
    415,213.23/569,257.31 = 407,646.43/x
  3. Step 3: Cross multiply
    415,213.23x = 569,257.31 × 407,646.43
  4. Step 4: Simplify right side
    415,213.23x = 232,055,710,905.20
  5. Step 5: Solve for x
    x = 232,055,710,905.20/415,213.23
  6. Step 6: Final answer
    x = 558,883.23

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.