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Finding the Fourth Proportional to 282,645.84, 390,202.92 and 217,973.64

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Solution

The fourth proportional to 282,645.84, 390,202.92 and 217,973.64 is: 300,920.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,645.84 : 390,202.92 = 217,973.64 : x
  2. Step 2: Convert to fraction form
    282,645.84/390,202.92 = 217,973.64/x
  3. Step 3: Cross multiply
    282,645.84x = 390,202.92 × 217,973.64
  4. Step 4: Simplify right side
    282,645.84x = 85,053,950,811.03
  5. Step 5: Solve for x
    x = 85,053,950,811.03/282,645.84
  6. Step 6: Final answer
    x = 300,920.58

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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.