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Finding the Fourth Proportional to 274,539.96, 378,871.56 and 153,678.24

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Solution

The fourth proportional to 274,539.96, 378,871.56 and 153,678.24 is: 212,079.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,539.96 : 378,871.56 = 153,678.24 : x
  2. Step 2: Convert to fraction form
    274,539.96/378,871.56 = 153,678.24/x
  3. Step 3: Cross multiply
    274,539.96x = 378,871.56 × 153,678.24
  4. Step 4: Simplify right side
    274,539.96x = 58,224,314,526.85
  5. Step 5: Solve for x
    x = 58,224,314,526.85/274,539.96
  6. Step 6: Final answer
    x = 212,079.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.