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Finding the Fourth Proportional to 531,770.40, 734,113.80 and 410,639.76

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Solution

The fourth proportional to 531,770.40, 734,113.80 and 410,639.76 is: 566,891.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,770.40 : 734,113.80 = 410,639.76 : x
  2. Step 2: Convert to fraction form
    531,770.40/734,113.80 = 410,639.76/x
  3. Step 3: Cross multiply
    531,770.40x = 734,113.80 × 410,639.76
  4. Step 4: Simplify right side
    531,770.40x = 301,456,314,644.69
  5. Step 5: Solve for x
    x = 301,456,314,644.69/531,770.40
  6. Step 6: Final answer
    x = 566,891.87

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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.