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Finding the Fourth Proportional to 286,005.18, 429,120.76 and 108,559.30

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Solution

The fourth proportional to 286,005.18, 429,120.76 and 108,559.30 is: 162,881.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,005.18 : 429,120.76 = 108,559.30 : x
  2. Step 2: Convert to fraction form
    286,005.18/429,120.76 = 108,559.30/x
  3. Step 3: Cross multiply
    286,005.18x = 429,120.76 × 108,559.30
  4. Step 4: Simplify right side
    286,005.18x = 46,585,049,321.07
  5. Step 5: Solve for x
    x = 46,585,049,321.07/286,005.18
  6. Step 6: Final answer
    x = 162,881.84

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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.