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Finding the Fourth Proportional to 513,883.20, 770,820.54 and 401,657.75

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Solution

The fourth proportional to 513,883.20, 770,820.54 and 401,657.75 is: 602,483.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,883.20 : 770,820.54 = 401,657.75 : x
  2. Step 2: Convert to fraction form
    513,883.20/770,820.54 = 401,657.75/x
  3. Step 3: Cross multiply
    513,883.20x = 770,820.54 × 401,657.75
  4. Step 4: Simplify right side
    513,883.20x = 309,606,039,896.08
  5. Step 5: Solve for x
    x = 309,606,039,896.08/513,883.20
  6. Step 6: Final answer
    x = 602,483.29

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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.