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Finding the Fourth Proportional to 286,886.90, 429,346.20 and 263,267.30

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Solution

The fourth proportional to 286,886.90, 429,346.20 and 263,267.30 is: 393,997.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,886.90 : 429,346.20 = 263,267.30 : x
  2. Step 2: Convert to fraction form
    286,886.90/429,346.20 = 263,267.30/x
  3. Step 3: Cross multiply
    286,886.90x = 429,346.20 × 263,267.30
  4. Step 4: Simplify right side
    286,886.90x = 113,032,814,839.26
  5. Step 5: Solve for x
    x = 113,032,814,839.26/286,886.90
  6. Step 6: Final answer
    x = 393,997.83

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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.