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Finding the Fourth Proportional to 578,185.21, 866,907.84 and 278,068.06

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Solution

The fourth proportional to 578,185.21, 866,907.84 and 278,068.06 is: 416,924.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,185.21 : 866,907.84 = 278,068.06 : x
  2. Step 2: Convert to fraction form
    578,185.21/866,907.84 = 278,068.06/x
  3. Step 3: Cross multiply
    578,185.21x = 866,907.84 × 278,068.06
  4. Step 4: Simplify right side
    578,185.21x = 241,059,381,267.59
  5. Step 5: Solve for x
    x = 241,059,381,267.59/578,185.21
  6. Step 6: Final answer
    x = 416,924.16

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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.