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Finding the Fourth Proportional to 353,164.86, 529,226.21 and 208,921.50

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Solution

The fourth proportional to 353,164.86, 529,226.21 and 208,921.50 is: 313,074.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,164.86 : 529,226.21 = 208,921.50 : x
  2. Step 2: Convert to fraction form
    353,164.86/529,226.21 = 208,921.50/x
  3. Step 3: Cross multiply
    353,164.86x = 529,226.21 × 208,921.50
  4. Step 4: Simplify right side
    353,164.86x = 110,566,734,154.82
  5. Step 5: Solve for x
    x = 110,566,734,154.82/353,164.86
  6. Step 6: Final answer
    x = 313,074.00

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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.