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Finding the Fourth Proportional to 286,264.65, 429,396.98 and 166,198.35

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Solution

The fourth proportional to 286,264.65, 429,396.98 and 166,198.35 is: 249,297.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,264.65 : 429,396.98 = 166,198.35 : x
  2. Step 2: Convert to fraction form
    286,264.65/429,396.98 = 166,198.35/x
  3. Step 3: Cross multiply
    286,264.65x = 429,396.98 × 166,198.35
  4. Step 4: Simplify right side
    286,264.65x = 71,365,068,739.99
  5. Step 5: Solve for x
    x = 71,365,068,739.99/286,264.65
  6. Step 6: Final answer
    x = 249,297.53

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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.