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Finding the Fourth Proportional to 527,283.10, 790,961.54 and 211,740

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Solution

The fourth proportional to 527,283.10, 790,961.54 and 211,740 is: 317,624.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,283.10 : 790,961.54 = 211,740 : x
  2. Step 2: Convert to fraction form
    527,283.10/790,961.54 = 211,740/x
  3. Step 3: Cross multiply
    527,283.10x = 790,961.54 × 211,740
  4. Step 4: Simplify right side
    527,283.10x = 167,478,196,479.60
  5. Step 5: Solve for x
    x = 167,478,196,479.60/527,283.10
  6. Step 6: Final answer
    x = 317,624.81

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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.