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Finding the Fourth Proportional to 296,703.86, 409,685.99 and 274,033.78

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Solution

The fourth proportional to 296,703.86, 409,685.99 and 274,033.78 is: 378,383.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,703.86 : 409,685.99 = 274,033.78 : x
  2. Step 2: Convert to fraction form
    296,703.86/409,685.99 = 274,033.78/x
  3. Step 3: Cross multiply
    296,703.86x = 409,685.99 × 274,033.78
  4. Step 4: Simplify right side
    296,703.86x = 112,267,798,058.36
  5. Step 5: Solve for x
    x = 112,267,798,058.36/296,703.86
  6. Step 6: Final answer
    x = 378,383.35

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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.