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Finding the Fourth Proportional to 270,693.20, 405,715.80 and 112,840.40

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Solution

The fourth proportional to 270,693.20, 405,715.80 and 112,840.40 is: 169,125.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,693.20 : 405,715.80 = 112,840.40 : x
  2. Step 2: Convert to fraction form
    270,693.20/405,715.80 = 112,840.40/x
  3. Step 3: Cross multiply
    270,693.20x = 405,715.80 × 112,840.40
  4. Step 4: Simplify right side
    270,693.20x = 45,781,133,158.32
  5. Step 5: Solve for x
    x = 45,781,133,158.32/270,693.20
  6. Step 6: Final answer
    x = 169,125.54

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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.