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Finding the Fourth Proportional to 769,852.57, 1,062,303.82 and 425,642

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Solution

The fourth proportional to 769,852.57, 1,062,303.82 and 425,642 is: 587,334.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,852.57 : 1,062,303.82 = 425,642 : x
  2. Step 2: Convert to fraction form
    769,852.57/1,062,303.82 = 425,642/x
  3. Step 3: Cross multiply
    769,852.57x = 1,062,303.82 × 425,642
  4. Step 4: Simplify right side
    769,852.57x = 452,161,122,552.44
  5. Step 5: Solve for x
    x = 452,161,122,552.44/769,852.57
  6. Step 6: Final answer
    x = 587,334.69

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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.