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Finding the Fourth Proportional to 486,075, 729,436.50 and 186,802.68

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Solution

The fourth proportional to 486,075, 729,436.50 and 186,802.68 is: 280,328.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,075 : 729,436.50 = 186,802.68 : x
  2. Step 2: Convert to fraction form
    486,075/729,436.50 = 186,802.68/x
  3. Step 3: Cross multiply
    486,075x = 729,436.50 × 186,802.68
  4. Step 4: Simplify right side
    486,075x = 136,260,693,089.82
  5. Step 5: Solve for x
    x = 136,260,693,089.82/486,075
  6. Step 6: Final answer
    x = 280,328.54

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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.