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Finding the Fourth Proportional to 274,007.86, 378,129.27 and 153,148.93

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Solution

The fourth proportional to 274,007.86, 378,129.27 and 153,148.93 is: 211,344.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,007.86 : 378,129.27 = 153,148.93 : x
  2. Step 2: Convert to fraction form
    274,007.86/378,129.27 = 153,148.93/x
  3. Step 3: Cross multiply
    274,007.86x = 378,129.27 × 153,148.93
  4. Step 4: Simplify right side
    274,007.86x = 57,910,093,102.18
  5. Step 5: Solve for x
    x = 57,910,093,102.18/274,007.86
  6. Step 6: Final answer
    x = 211,344.64

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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.