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Finding the Fourth Proportional to 402,066.41, 602,965.80 and 162,118.33

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Solution

The fourth proportional to 402,066.41, 602,965.80 and 162,118.33 is: 243,123.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,066.41 : 602,965.80 = 162,118.33 : x
  2. Step 2: Convert to fraction form
    402,066.41/602,965.80 = 162,118.33/x
  3. Step 3: Cross multiply
    402,066.41x = 602,965.80 × 162,118.33
  4. Step 4: Simplify right side
    402,066.41x = 97,751,809,296.82
  5. Step 5: Solve for x
    x = 97,751,809,296.82/402,066.41
  6. Step 6: Final answer
    x = 243,123.54

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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.