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Finding the Fourth Proportional to 286,315.65, 428,819.19 and 136,661.00

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Solution

The fourth proportional to 286,315.65, 428,819.19 and 136,661.00 is: 204,679.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,315.65 : 428,819.19 = 136,661.00 : x
  2. Step 2: Convert to fraction form
    286,315.65/428,819.19 = 136,661.00/x
  3. Step 3: Cross multiply
    286,315.65x = 428,819.19 × 136,661.00
  4. Step 4: Simplify right side
    286,315.65x = 58,602,857,180.49
  5. Step 5: Solve for x
    x = 58,602,857,180.49/286,315.65
  6. Step 6: Final answer
    x = 204,679.20

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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.