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Finding the Fourth Proportional to 500,640.50, 750,877.61 and 180,731.00

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Solution

The fourth proportional to 500,640.50, 750,877.61 and 180,731.00 is: 271,066.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,640.50 : 750,877.61 = 180,731.00 : x
  2. Step 2: Convert to fraction form
    500,640.50/750,877.61 = 180,731.00/x
  3. Step 3: Cross multiply
    500,640.50x = 750,877.61 × 180,731.00
  4. Step 4: Simplify right side
    500,640.50x = 135,706,856,674.87
  5. Step 5: Solve for x
    x = 135,706,856,674.87/500,640.50
  6. Step 6: Final answer
    x = 271,066.48

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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.