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Finding the Fourth Proportional to 258,476, 387,714 and 71,487.50

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Solution

The fourth proportional to 258,476, 387,714 and 71,487.50 is: 107,231.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,476 : 387,714 = 71,487.50 : x
  2. Step 2: Convert to fraction form
    258,476/387,714 = 71,487.50/x
  3. Step 3: Cross multiply
    258,476x = 387,714 × 71,487.50
  4. Step 4: Simplify right side
    258,476x = 27,716,704,575
  5. Step 5: Solve for x
    x = 27,716,704,575/258,476
  6. Step 6: Final answer
    x = 107,231.25

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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.