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Finding the Fourth Proportional to 407,382.66, 611,078.58 and 123,075.54

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Solution

The fourth proportional to 407,382.66, 611,078.58 and 123,075.54 is: 184,614.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,382.66 : 611,078.58 = 123,075.54 : x
  2. Step 2: Convert to fraction form
    407,382.66/611,078.58 = 123,075.54/x
  3. Step 3: Cross multiply
    407,382.66x = 611,078.58 × 123,075.54
  4. Step 4: Simplify right side
    407,382.66x = 75,208,826,215.93
  5. Step 5: Solve for x
    x = 75,208,826,215.93/407,382.66
  6. Step 6: Final answer
    x = 184,614.70

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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.