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Finding the Fourth Proportional to 274,448.40, 411,672.60 and 77,456.40

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Solution

The fourth proportional to 274,448.40, 411,672.60 and 77,456.40 is: 116,184.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,448.40 : 411,672.60 = 77,456.40 : x
  2. Step 2: Convert to fraction form
    274,448.40/411,672.60 = 77,456.40/x
  3. Step 3: Cross multiply
    274,448.40x = 411,672.60 × 77,456.40
  4. Step 4: Simplify right side
    274,448.40x = 31,886,677,574.64
  5. Step 5: Solve for x
    x = 31,886,677,574.64/274,448.40
  6. Step 6: Final answer
    x = 116,184.60

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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.