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Finding the Fourth Proportional to 286,809.20, 430,156.20 and 137,049.20

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Solution

The fourth proportional to 286,809.20, 430,156.20 and 137,049.20 is: 205,546.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,809.20 : 430,156.20 = 137,049.20 : x
  2. Step 2: Convert to fraction form
    286,809.20/430,156.20 = 137,049.20/x
  3. Step 3: Cross multiply
    286,809.20x = 430,156.20 × 137,049.20
  4. Step 4: Simplify right side
    286,809.20x = 58,952,563,085.04
  5. Step 5: Solve for x
    x = 58,952,563,085.04/286,809.20
  6. Step 6: Final answer
    x = 205,546.28

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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.