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Finding the Fourth Proportional to 318,653.90, 477,870.66 and 141,284.96

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Solution

The fourth proportional to 318,653.90, 477,870.66 and 141,284.96 is: 211,878.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,653.90 : 477,870.66 = 141,284.96 : x
  2. Step 2: Convert to fraction form
    318,653.90/477,870.66 = 141,284.96/x
  3. Step 3: Cross multiply
    318,653.90x = 477,870.66 × 141,284.96
  4. Step 4: Simplify right side
    318,653.90x = 67,515,937,083.27
  5. Step 5: Solve for x
    x = 67,515,937,083.27/318,653.90
  6. Step 6: Final answer
    x = 211,878.58

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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.