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Finding the Fourth Proportional to 286,216.20, 429,537.60 and 109,069.20

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Solution

The fourth proportional to 286,216.20, 429,537.60 and 109,069.20 is: 163,685.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,216.20 : 429,537.60 = 109,069.20 : x
  2. Step 2: Convert to fraction form
    286,216.20/429,537.60 = 109,069.20/x
  3. Step 3: Cross multiply
    286,216.20x = 429,537.60 × 109,069.20
  4. Step 4: Simplify right side
    286,216.20x = 46,849,322,401.92
  5. Step 5: Solve for x
    x = 46,849,322,401.92/286,216.20
  6. Step 6: Final answer
    x = 163,685.08

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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.