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Finding the Fourth Proportional to 415,326.90, 623,010.14 and 201,840.47

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Solution

The fourth proportional to 415,326.90, 623,010.14 and 201,840.47 is: 302,770.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,326.90 : 623,010.14 = 201,840.47 : x
  2. Step 2: Convert to fraction form
    415,326.90/623,010.14 = 201,840.47/x
  3. Step 3: Cross multiply
    415,326.90x = 623,010.14 × 201,840.47
  4. Step 4: Simplify right side
    415,326.90x = 125,748,659,472.37
  5. Step 5: Solve for x
    x = 125,748,659,472.37/415,326.90
  6. Step 6: Final answer
    x = 302,770.32

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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.