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Finding the Fourth Proportional to 665,204.70, 917,982.20 and 359,280.96

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Solution

The fourth proportional to 665,204.70, 917,982.20 and 359,280.96 is: 495,807.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,204.70 : 917,982.20 = 359,280.96 : x
  2. Step 2: Convert to fraction form
    665,204.70/917,982.20 = 359,280.96/x
  3. Step 3: Cross multiply
    665,204.70x = 917,982.20 × 359,280.96
  4. Step 4: Simplify right side
    665,204.70x = 329,813,524,282.51
  5. Step 5: Solve for x
    x = 329,813,524,282.51/665,204.70
  6. Step 6: Final answer
    x = 495,807.57

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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.