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Finding the Fourth Proportional to 286,046.40, 429,069.60 and 72,813.90

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Solution

The fourth proportional to 286,046.40, 429,069.60 and 72,813.90 is: 109,220.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,046.40 : 429,069.60 = 72,813.90 : x
  2. Step 2: Convert to fraction form
    286,046.40/429,069.60 = 72,813.90/x
  3. Step 3: Cross multiply
    286,046.40x = 429,069.60 × 72,813.90
  4. Step 4: Simplify right side
    286,046.40x = 31,242,230,947.44
  5. Step 5: Solve for x
    x = 31,242,230,947.44/286,046.40
  6. Step 6: Final answer
    x = 109,220.85

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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.