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Finding the Fourth Proportional to 612,075.50, 844,764.36 and 509,939

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Solution

The fourth proportional to 612,075.50, 844,764.36 and 509,939 is: 703,799.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,075.50 : 844,764.36 = 509,939 : x
  2. Step 2: Convert to fraction form
    612,075.50/844,764.36 = 509,939/x
  3. Step 3: Cross multiply
    612,075.50x = 844,764.36 × 509,939
  4. Step 4: Simplify right side
    612,075.50x = 430,778,292,974.04
  5. Step 5: Solve for x
    x = 430,778,292,974.04/612,075.50
  6. Step 6: Final answer
    x = 703,799.27

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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.