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Finding the Fourth Proportional to 346,080.80, 518,084.40 and 205,767.20

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Solution

The fourth proportional to 346,080.80, 518,084.40 and 205,767.20 is: 308,034.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,080.80 : 518,084.40 = 205,767.20 : x
  2. Step 2: Convert to fraction form
    346,080.80/518,084.40 = 205,767.20/x
  3. Step 3: Cross multiply
    346,080.80x = 518,084.40 × 205,767.20
  4. Step 4: Simplify right side
    346,080.80x = 106,604,776,351.68
  5. Step 5: Solve for x
    x = 106,604,776,351.68/346,080.80
  6. Step 6: Final answer
    x = 308,034.36

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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.