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Finding the Fourth Proportional to 275,803.80, 413,411.40 and 157,219.80

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Solution

The fourth proportional to 275,803.80, 413,411.40 and 157,219.80 is: 235,661.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,803.80 : 413,411.40 = 157,219.80 : x
  2. Step 2: Convert to fraction form
    275,803.80/413,411.40 = 157,219.80/x
  3. Step 3: Cross multiply
    275,803.80x = 413,411.40 × 157,219.80
  4. Step 4: Simplify right side
    275,803.80x = 64,996,457,625.72
  5. Step 5: Solve for x
    x = 64,996,457,625.72/275,803.80
  6. Step 6: Final answer
    x = 235,661.94

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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.