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Finding the Fourth Proportional to 531,406, 733,340.28 and 305,124.40

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Solution

The fourth proportional to 531,406, 733,340.28 and 305,124.40 is: 421,071.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,406 : 733,340.28 = 305,124.40 : x
  2. Step 2: Convert to fraction form
    531,406/733,340.28 = 305,124.40/x
  3. Step 3: Cross multiply
    531,406x = 733,340.28 × 305,124.40
  4. Step 4: Simplify right side
    531,406x = 223,760,012,930.83
  5. Step 5: Solve for x
    x = 223,760,012,930.83/531,406
  6. Step 6: Final answer
    x = 421,071.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.