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Finding the Fourth Proportional to 273,384.40, 410,141.40 and 140,285.20

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Solution

The fourth proportional to 273,384.40, 410,141.40 and 140,285.20 is: 210,461.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,384.40 : 410,141.40 = 140,285.20 : x
  2. Step 2: Convert to fraction form
    273,384.40/410,141.40 = 140,285.20/x
  3. Step 3: Cross multiply
    273,384.40x = 410,141.40 × 140,285.20
  4. Step 4: Simplify right side
    273,384.40x = 57,536,768,327.28
  5. Step 5: Solve for x
    x = 57,536,768,327.28/273,384.40
  6. Step 6: Final answer
    x = 210,461.05

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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.