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Finding the Fourth Proportional to 286,343.34, 428,860.74 and 136,688.70

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Solution

The fourth proportional to 286,343.34, 428,860.74 and 136,688.70 is: 204,720.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,343.34 : 428,860.74 = 136,688.70 : x
  2. Step 2: Convert to fraction form
    286,343.34/428,860.74 = 136,688.70/x
  3. Step 3: Cross multiply
    286,343.34x = 428,860.74 × 136,688.70
  4. Step 4: Simplify right side
    286,343.34x = 58,620,417,031.64
  5. Step 5: Solve for x
    x = 58,620,417,031.64/286,343.34
  6. Step 6: Final answer
    x = 204,720.73

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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.