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Finding the Fourth Proportional to 849,491.36, 1,274,421.36 and 258,500

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Solution

The fourth proportional to 849,491.36, 1,274,421.36 and 258,500 is: 387,806.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,491.36 : 1,274,421.36 = 258,500 : x
  2. Step 2: Convert to fraction form
    849,491.36/1,274,421.36 = 258,500/x
  3. Step 3: Cross multiply
    849,491.36x = 1,274,421.36 × 258,500
  4. Step 4: Simplify right side
    849,491.36x = 329,437,921,560
  5. Step 5: Solve for x
    x = 329,437,921,560/849,491.36
  6. Step 6: Final answer
    x = 387,806.09

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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.