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Finding the Fourth Proportional to 275,322.83, 412,705.40 and 186,585.30

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Solution

The fourth proportional to 275,322.83, 412,705.40 and 186,585.30 is: 279,688.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,322.83 : 412,705.40 = 186,585.30 : x
  2. Step 2: Convert to fraction form
    275,322.83/412,705.40 = 186,585.30/x
  3. Step 3: Cross multiply
    275,322.83x = 412,705.40 × 186,585.30
  4. Step 4: Simplify right side
    275,322.83x = 77,004,759,937.69
  5. Step 5: Solve for x
    x = 77,004,759,937.69/275,322.83
  6. Step 6: Final answer
    x = 279,688.98

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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.