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Finding the Fourth Proportional to 378,108.96, 521,827.14 and 282,449.58

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Solution

The fourth proportional to 378,108.96, 521,827.14 and 282,449.58 is: 389,807.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,108.96 : 521,827.14 = 282,449.58 : x
  2. Step 2: Convert to fraction form
    378,108.96/521,827.14 = 282,449.58/x
  3. Step 3: Cross multiply
    378,108.96x = 521,827.14 × 282,449.58
  4. Step 4: Simplify right side
    378,108.96x = 147,389,856,525.60
  5. Step 5: Solve for x
    x = 147,389,856,525.60/378,108.96
  6. Step 6: Final answer
    x = 389,807.89

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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.