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Finding the Fourth Proportional to 543,883.02, 815,701.46 and 206,803.40

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Solution

The fourth proportional to 543,883.02, 815,701.46 and 206,803.40 is: 310,158.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,883.02 : 815,701.46 = 206,803.40 : x
  2. Step 2: Convert to fraction form
    543,883.02/815,701.46 = 206,803.40/x
  3. Step 3: Cross multiply
    543,883.02x = 815,701.46 × 206,803.40
  4. Step 4: Simplify right side
    543,883.02x = 168,689,835,312.96
  5. Step 5: Solve for x
    x = 168,689,835,312.96/543,883.02
  6. Step 6: Final answer
    x = 310,158.30

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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.