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Finding the Fourth Proportional to 378,095.60, 521,808.70 and 282,436.22

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Solution

The fourth proportional to 378,095.60, 521,808.70 and 282,436.22 is: 389,789.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,095.60 : 521,808.70 = 282,436.22 : x
  2. Step 2: Convert to fraction form
    378,095.60/521,808.70 = 282,436.22/x
  3. Step 3: Cross multiply
    378,095.60x = 521,808.70 × 282,436.22
  4. Step 4: Simplify right side
    378,095.60x = 147,377,676,791.11
  5. Step 5: Solve for x
    x = 147,377,676,791.11/378,095.60
  6. Step 6: Final answer
    x = 389,789.45

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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.