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Finding the Fourth Proportional to 378,095.35, 521,808.35 and 282,435.97

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Solution

The fourth proportional to 378,095.35, 521,808.35 and 282,435.97 is: 389,789.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,095.35 : 521,808.35 = 282,435.97 : x
  2. Step 2: Convert to fraction form
    378,095.35/521,808.35 = 282,435.97/x
  3. Step 3: Cross multiply
    378,095.35x = 521,808.35 × 282,435.97
  4. Step 4: Simplify right side
    378,095.35x = 147,377,447,486.35
  5. Step 5: Solve for x
    x = 147,377,447,486.35/378,095.35
  6. Step 6: Final answer
    x = 389,789.10

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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.