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Finding the Fourth Proportional to 567,240.81, 782,782.26 and 309,120.03

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Solution

The fourth proportional to 567,240.81, 782,782.26 and 309,120.03 is: 426,580.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,240.81 : 782,782.26 = 309,120.03 : x
  2. Step 2: Convert to fraction form
    567,240.81/782,782.26 = 309,120.03/x
  3. Step 3: Cross multiply
    567,240.81x = 782,782.26 × 309,120.03
  4. Step 4: Simplify right side
    567,240.81x = 241,973,675,694.67
  5. Step 5: Solve for x
    x = 241,973,675,694.67/567,240.81
  6. Step 6: Final answer
    x = 426,580.16

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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.