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Finding the Fourth Proportional to 286,205.75, 429,317.77 and 143,973.30

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Solution

The fourth proportional to 286,205.75, 429,317.77 and 143,973.30 is: 215,964.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,205.75 : 429,317.77 = 143,973.30 : x
  2. Step 2: Convert to fraction form
    286,205.75/429,317.77 = 143,973.30/x
  3. Step 3: Cross multiply
    286,205.75x = 429,317.77 × 143,973.30
  4. Step 4: Simplify right side
    286,205.75x = 61,810,295,200.59
  5. Step 5: Solve for x
    x = 61,810,295,200.59/286,205.75
  6. Step 6: Final answer
    x = 215,964.54

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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.