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Finding the Fourth Proportional to 353,807.10, 529,933.05 and 213,320.70

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Solution

The fourth proportional to 353,807.10, 529,933.05 and 213,320.70 is: 319,512.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,807.10 : 529,933.05 = 213,320.70 : x
  2. Step 2: Convert to fraction form
    353,807.10/529,933.05 = 213,320.70/x
  3. Step 3: Cross multiply
    353,807.10x = 529,933.05 × 213,320.70
  4. Step 4: Simplify right side
    353,807.10x = 113,045,689,179.14
  5. Step 5: Solve for x
    x = 113,045,689,179.14/353,807.10
  6. Step 6: Final answer
    x = 319,512.21

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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.