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Finding the Fourth Proportional to 275,804.80, 413,412.90 and 157,220.80

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Solution

The fourth proportional to 275,804.80, 413,412.90 and 157,220.80 is: 235,663.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,804.80 : 413,412.90 = 157,220.80 : x
  2. Step 2: Convert to fraction form
    275,804.80/413,412.90 = 157,220.80/x
  3. Step 3: Cross multiply
    275,804.80x = 413,412.90 × 157,220.80
  4. Step 4: Simplify right side
    275,804.80x = 64,997,106,868.32
  5. Step 5: Solve for x
    x = 64,997,106,868.32/275,804.80
  6. Step 6: Final answer
    x = 235,663.44

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1.5x scale

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.