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Finding the Fourth Proportional to 286,483.75, 429,725.70 and 106,545.67

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Solution

The fourth proportional to 286,483.75, 429,725.70 and 106,545.67 is: 159,818.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,483.75 : 429,725.70 = 106,545.67 : x
  2. Step 2: Convert to fraction form
    286,483.75/429,725.70 = 106,545.67/x
  3. Step 3: Cross multiply
    286,483.75x = 429,725.70 × 106,545.67
  4. Step 4: Simplify right side
    286,483.75x = 45,785,410,474.09
  5. Step 5: Solve for x
    x = 45,785,410,474.09/286,483.75
  6. Step 6: Final answer
    x = 159,818.53

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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.