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Finding the Fourth Proportional to 318,482.88, 477,724.68 and 81,827.52

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Solution

The fourth proportional to 318,482.88, 477,724.68 and 81,827.52 is: 122,741.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,482.88 : 477,724.68 = 81,827.52 : x
  2. Step 2: Convert to fraction form
    318,482.88/477,724.68 = 81,827.52/x
  3. Step 3: Cross multiply
    318,482.88x = 477,724.68 × 81,827.52
  4. Step 4: Simplify right side
    318,482.88x = 39,091,025,807.19
  5. Step 5: Solve for x
    x = 39,091,025,807.19/318,482.88
  6. Step 6: Final answer
    x = 122,741.37

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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.