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Finding the Fourth Proportional to 286,720.30, 429,934.65 and 168,427.90

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Solution

The fourth proportional to 286,720.30, 429,934.65 and 168,427.90 is: 252,556.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,720.30 : 429,934.65 = 168,427.90 : x
  2. Step 2: Convert to fraction form
    286,720.30/429,934.65 = 168,427.90/x
  3. Step 3: Cross multiply
    286,720.30x = 429,934.65 × 168,427.90
  4. Step 4: Simplify right side
    286,720.30x = 72,412,990,236.74
  5. Step 5: Solve for x
    x = 72,412,990,236.74/286,720.30
  6. Step 6: Final answer
    x = 252,556.20

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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.