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Finding the Fourth Proportional to 274,646.40, 411,969.60 and 169,123.20

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Solution

The fourth proportional to 274,646.40, 411,969.60 and 169,123.20 is: 253,684.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,646.40 : 411,969.60 = 169,123.20 : x
  2. Step 2: Convert to fraction form
    274,646.40/411,969.60 = 169,123.20/x
  3. Step 3: Cross multiply
    274,646.40x = 411,969.60 × 169,123.20
  4. Step 4: Simplify right side
    274,646.40x = 69,673,617,054.72
  5. Step 5: Solve for x
    x = 69,673,617,054.72/274,646.40
  6. Step 6: Final answer
    x = 253,684.80

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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.