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Finding the Fourth Proportional to 579,143.88, 867,755.70 and 409,825.26

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Solution

The fourth proportional to 579,143.88, 867,755.70 and 409,825.26 is: 614,058.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,143.88 : 867,755.70 = 409,825.26 : x
  2. Step 2: Convert to fraction form
    579,143.88/867,755.70 = 409,825.26/x
  3. Step 3: Cross multiply
    579,143.88x = 867,755.70 × 409,825.26
  4. Step 4: Simplify right side
    579,143.88x = 355,628,205,368.98
  5. Step 5: Solve for x
    x = 355,628,205,368.98/579,143.88
  6. Step 6: Final answer
    x = 614,058.47

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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.