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Finding the Fourth Proportional to 378,705.16, 567,516.39 and 278,075.80

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Solution

The fourth proportional to 378,705.16, 567,516.39 and 278,075.80 is: 416,716.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,705.16 : 567,516.39 = 278,075.80 : x
  2. Step 2: Convert to fraction form
    378,705.16/567,516.39 = 278,075.80/x
  3. Step 3: Cross multiply
    378,705.16x = 567,516.39 × 278,075.80
  4. Step 4: Simplify right side
    378,705.16x = 157,812,574,162.36
  5. Step 5: Solve for x
    x = 157,812,574,162.36/378,705.16
  6. Step 6: Final answer
    x = 416,716.20

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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.