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Finding the Fourth Proportional to 275,802.80, 413,409.90 and 157,218.80

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Solution

The fourth proportional to 275,802.80, 413,409.90 and 157,218.80 is: 235,660.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,802.80 : 413,409.90 = 157,218.80 : x
  2. Step 2: Convert to fraction form
    275,802.80/413,409.90 = 157,218.80/x
  3. Step 3: Cross multiply
    275,802.80x = 413,409.90 × 157,218.80
  4. Step 4: Simplify right side
    275,802.80x = 64,995,808,386.12
  5. Step 5: Solve for x
    x = 64,995,808,386.12/275,802.80
  6. Step 6: Final answer
    x = 235,660.44

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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.