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Finding the Fourth Proportional to 535,523.62, 739,016.50 and 309,164.26

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Solution

The fourth proportional to 535,523.62, 739,016.50 and 309,164.26 is: 426,643.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,523.62 : 739,016.50 = 309,164.26 : x
  2. Step 2: Convert to fraction form
    535,523.62/739,016.50 = 309,164.26/x
  3. Step 3: Cross multiply
    535,523.62x = 739,016.50 × 309,164.26
  4. Step 4: Simplify right side
    535,523.62x = 228,477,484,109.39
  5. Step 5: Solve for x
    x = 228,477,484,109.39/535,523.62
  6. Step 6: Final answer
    x = 426,643.15

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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.