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Finding the Fourth Proportional to 286,459.82, 429,390.38 and 159,914.52

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Solution

The fourth proportional to 286,459.82, 429,390.38 and 159,914.52 is: 239,704.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,459.82 : 429,390.38 = 159,914.52 : x
  2. Step 2: Convert to fraction form
    286,459.82/429,390.38 = 159,914.52/x
  3. Step 3: Cross multiply
    286,459.82x = 429,390.38 × 159,914.52
  4. Step 4: Simplify right side
    286,459.82x = 68,665,756,510.32
  5. Step 5: Solve for x
    x = 68,665,756,510.32/286,459.82
  6. Step 6: Final answer
    x = 239,704.67

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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.