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Finding the Fourth Proportional to 665,971.84, 998,952.27 and 287,160.34

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Solution

The fourth proportional to 665,971.84, 998,952.27 and 287,160.34 is: 430,738.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,971.84 : 998,952.27 = 287,160.34 : x
  2. Step 2: Convert to fraction form
    665,971.84/998,952.27 = 287,160.34/x
  3. Step 3: Cross multiply
    665,971.84x = 998,952.27 × 287,160.34
  4. Step 4: Simplify right side
    665,971.84x = 286,859,473,496.97
  5. Step 5: Solve for x
    x = 286,859,473,496.97/665,971.84
  6. Step 6: Final answer
    x = 430,738.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.